Finding the Third Proportional to 257,454 and 560,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,454 : 560,677.50 = 560,677.50 : x
2. Step 2: Convert to fraction form
   257,454/560,677.50 = 560,677.50/x
3. Step 3: Cross multiply
   257,454x = 560,677.50 × 560,677.50
4. Step 4: Simplify right side
   257,454x = 314,359,259,006.25
5. Step 5: Solve for x
   x = 314,359,259,006.25/257,454
6. Step 6: Final answer
   x = 1,221,030.78