Finding the Third Proportional to 260,616 and 413,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,616 : 413,005.50 = 413,005.50 : x
2. Step 2: Convert to fraction form
   260,616/413,005.50 = 413,005.50/x
3. Step 3: Cross multiply
   260,616x = 413,005.50 × 413,005.50
4. Step 4: Simplify right side
   260,616x = 170,573,543,030.25
5. Step 5: Solve for x
   x = 170,573,543,030.25/260,616
6. Step 6: Final answer
   x = 654,501.42