Finding the Third Proportional to 256,340 and 562,600

Step by Step Solution

1. Step 1: Write the proportion equation
   256,340 : 562,600 = 562,600 : x
2. Step 2: Convert to fraction form
   256,340/562,600 = 562,600/x
3. Step 3: Cross multiply
   256,340x = 562,600 × 562,600
4. Step 4: Simplify right side
   256,340x = 316,518,760,000
5. Step 5: Solve for x
   x = 316,518,760,000/256,340
6. Step 6: Final answer
   x = 1,234,761.49