Finding the Third Proportional to 687,878,475,123 and 1,025,852,509,431

Step by Step Solution

1. Step 1: Write the proportion equation
   687,878,475,123 : 1,025,852,509,431 = 1,025,852,509,431 : x
2. Step 2: Convert to fraction form
   687,878,475,123/1,025,852,509,431 = 1,025,852,509,431/x
3. Step 3: Cross multiply
   687,878,475,123x = 1,025,852,509,431 × 1,025,852,509,431
4. Step 4: Simplify right side
   687,878,475,123x = 1,052,373,371,105,879,905,009,664
5. Step 5: Solve for x
   x = 1,052,373,371,105,879,905,009,664/687,878,475,123
6. Step 6: Final answer
   x = 1,529,882,688,824.80