Finding the Third Proportional to 256,365 and 561,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,365 : 561,001.50 = 561,001.50 : x
2. Step 2: Convert to fraction form
   256,365/561,001.50 = 561,001.50/x
3. Step 3: Cross multiply
   256,365x = 561,001.50 × 561,001.50
4. Step 4: Simplify right side
   256,365x = 314,722,683,002.25
5. Step 5: Solve for x
   x = 314,722,683,002.25/256,365
6. Step 6: Final answer
   x = 1,227,635.14