Finding the Third Proportional to 260,851.50 and 414,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,851.50 : 414,945.50 = 414,945.50 : x
2. Step 2: Convert to fraction form
   260,851.50/414,945.50 = 414,945.50/x
3. Step 3: Cross multiply
   260,851.50x = 414,945.50 × 414,945.50
4. Step 4: Simplify right side
   260,851.50x = 172,179,767,970.25
5. Step 5: Solve for x
   x = 172,179,767,970.25/260,851.50
6. Step 6: Final answer
   x = 660,068.15