Finding the Third Proportional to 165,688.59 and 253,351.69

Step by Step Solution

1. Step 1: Write the proportion equation
   165,688.59 : 253,351.69 = 253,351.69 : x
2. Step 2: Convert to fraction form
   165,688.59/253,351.69 = 253,351.69/x
3. Step 3: Cross multiply
   165,688.59x = 253,351.69 × 253,351.69
4. Step 4: Simplify right side
   165,688.59x = 64,187,077,559.10
5. Step 5: Solve for x
   x = 64,187,077,559.10/165,688.59
6. Step 6: Final answer
   x = 387,395.87