Finding the Third Proportional to 256,405.50 and 561,123

Step by Step Solution

1. Step 1: Write the proportion equation
   256,405.50 : 561,123 = 561,123 : x
2. Step 2: Convert to fraction form
   256,405.50/561,123 = 561,123/x
3. Step 3: Cross multiply
   256,405.50x = 561,123 × 561,123
4. Step 4: Simplify right side
   256,405.50x = 314,859,021,129
5. Step 5: Solve for x
   x = 314,859,021,129/256,405.50
6. Step 6: Final answer
   x = 1,227,972.96