Finding the Third Proportional to 465,492 and 711,774

Step by Step Solution

1. Step 1: Write the proportion equation
   465,492 : 711,774 = 711,774 : x
2. Step 2: Convert to fraction form
   465,492/711,774 = 711,774/x
3. Step 3: Cross multiply
   465,492x = 711,774 × 711,774
4. Step 4: Simplify right side
   465,492x = 506,622,227,076
5. Step 5: Solve for x
   x = 506,622,227,076/465,492
6. Step 6: Final answer
   x = 1,088,358.61