Finding the Third Proportional to 256,591.50 and 369,612

Step by Step Solution

1. Step 1: Write the proportion equation
   256,591.50 : 369,612 = 369,612 : x
2. Step 2: Convert to fraction form
   256,591.50/369,612 = 369,612/x
3. Step 3: Cross multiply
   256,591.50x = 369,612 × 369,612
4. Step 4: Simplify right side
   256,591.50x = 136,613,030,544
5. Step 5: Solve for x
   x = 136,613,030,544/256,591.50
6. Step 6: Final answer
   x = 532,414.48