Finding the Third Proportional to 509,715 and 713,092

Step by Step Solution

1. Step 1: Write the proportion equation
   509,715 : 713,092 = 713,092 : x
2. Step 2: Convert to fraction form
   509,715/713,092 = 713,092/x
3. Step 3: Cross multiply
   509,715x = 713,092 × 713,092
4. Step 4: Simplify right side
   509,715x = 508,500,200,464
5. Step 5: Solve for x
   x = 508,500,200,464/509,715
6. Step 6: Final answer
   x = 997,616.71