Finding the Third Proportional to 517,388 and 772,892

Step by Step Solution

1. Step 1: Write the proportion equation
   517,388 : 772,892 = 772,892 : x
2. Step 2: Convert to fraction form
   517,388/772,892 = 772,892/x
3. Step 3: Cross multiply
   517,388x = 772,892 × 772,892
4. Step 4: Simplify right side
   517,388x = 597,362,043,664
5. Step 5: Solve for x
   x = 597,362,043,664/517,388
6. Step 6: Final answer
   x = 1,154,572.67