Finding the Third Proportional to 260,077.50 and 389,061

Step by Step Solution

1. Step 1: Write the proportion equation
   260,077.50 : 389,061 = 389,061 : x
2. Step 2: Convert to fraction form
   260,077.50/389,061 = 389,061/x
3. Step 3: Cross multiply
   260,077.50x = 389,061 × 389,061
4. Step 4: Simplify right side
   260,077.50x = 151,368,461,721
5. Step 5: Solve for x
   x = 151,368,461,721/260,077.50
6. Step 6: Final answer
   x = 582,012.91