Finding the Third Proportional to 256,524 and 562,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,524 : 562,301.50 = 562,301.50 : x
2. Step 2: Convert to fraction form
   256,524/562,301.50 = 562,301.50/x
3. Step 3: Cross multiply
   256,524x = 562,301.50 × 562,301.50
4. Step 4: Simplify right side
   256,524x = 316,182,976,902.25
5. Step 5: Solve for x
   x = 316,182,976,902.25/256,524
6. Step 6: Final answer
   x = 1,232,566.84