Finding the Third Proportional to 256,123.50 and 375,881.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,123.50 : 375,881.25 = 375,881.25 : x
2. Step 2: Convert to fraction form
   256,123.50/375,881.25 = 375,881.25/x
3. Step 3: Cross multiply
   256,123.50x = 375,881.25 × 375,881.25
4. Step 4: Simplify right side
   256,123.50x = 141,286,714,101.56
5. Step 5: Solve for x
   x = 141,286,714,101.56/256,123.50
6. Step 6: Final answer
   x = 551,635.11