Finding the Third Proportional to 165,159 and 253,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,159 : 253,064.50 = 253,064.50 : x
2. Step 2: Convert to fraction form
   165,159/253,064.50 = 253,064.50/x
3. Step 3: Cross multiply
   165,159x = 253,064.50 × 253,064.50
4. Step 4: Simplify right side
   165,159x = 64,041,641,160.25
5. Step 5: Solve for x
   x = 64,041,641,160.25/165,159
6. Step 6: Final answer
   x = 387,757.50