Finding the Third Proportional to 186,494 and 402,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,494 : 402,472.50 = 402,472.50 : x
2. Step 2: Convert to fraction form
   186,494/402,472.50 = 402,472.50/x
3. Step 3: Cross multiply
   186,494x = 402,472.50 × 402,472.50
4. Step 4: Simplify right side
   186,494x = 161,984,113,256.25
5. Step 5: Solve for x
   x = 161,984,113,256.25/186,494
6. Step 6: Final answer
   x = 868,575.47