Finding the Third Proportional to 152,791.31 and 199,639.69

Step by Step Solution

1. Step 1: Write the proportion equation
   152,791.31 : 199,639.69 = 199,639.69 : x
2. Step 2: Convert to fraction form
   152,791.31/199,639.69 = 199,639.69/x
3. Step 3: Cross multiply
   152,791.31x = 199,639.69 × 199,639.69
4. Step 4: Simplify right side
   152,791.31x = 39,856,004,825.10
5. Step 5: Solve for x
   x = 39,856,004,825.10/152,791.31
6. Step 6: Final answer
   x = 260,852.56