Finding the Third Proportional to 256,123.50 and 375,882

Step by Step Solution

1. Step 1: Write the proportion equation
   256,123.50 : 375,882 = 375,882 : x
2. Step 2: Convert to fraction form
   256,123.50/375,882 = 375,882/x
3. Step 3: Cross multiply
   256,123.50x = 375,882 × 375,882
4. Step 4: Simplify right side
   256,123.50x = 141,287,277,924
5. Step 5: Solve for x
   x = 141,287,277,924/256,123.50
6. Step 6: Final answer
   x = 551,637.31