Finding the Third Proportional to 253,464 and 354,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,464 : 354,361.50 = 354,361.50 : x
2. Step 2: Convert to fraction form
   253,464/354,361.50 = 354,361.50/x
3. Step 3: Cross multiply
   253,464x = 354,361.50 × 354,361.50
4. Step 4: Simplify right side
   253,464x = 125,572,072,682.25
5. Step 5: Solve for x
   x = 125,572,072,682.25/253,464
6. Step 6: Final answer
   x = 495,423.70