Finding the Third Proportional to 57,788 and 78,364

Step by Step Solution

1. Step 1: Write the proportion equation
   57,788 : 78,364 = 78,364 : x
2. Step 2: Convert to fraction form
   57,788/78,364 = 78,364/x
3. Step 3: Cross multiply
   57,788x = 78,364 × 78,364
4. Step 4: Simplify right side
   57,788x = 6,140,916,496
5. Step 5: Solve for x
   x = 6,140,916,496/57,788
6. Step 6: Final answer
   x = 106,266.29