Finding the Third Proportional to 256,063.50 and 377,514

Step by Step Solution

1. Step 1: Write the proportion equation
   256,063.50 : 377,514 = 377,514 : x
2. Step 2: Convert to fraction form
   256,063.50/377,514 = 377,514/x
3. Step 3: Cross multiply
   256,063.50x = 377,514 × 377,514
4. Step 4: Simplify right side
   256,063.50x = 142,516,820,196
5. Step 5: Solve for x
   x = 142,516,820,196/256,063.50
6. Step 6: Final answer
   x = 556,568.27