Finding the Third Proportional to 165,138 and 253,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,138 : 253,037.50 = 253,037.50 : x
2. Step 2: Convert to fraction form
   165,138/253,037.50 = 253,037.50/x
3. Step 3: Cross multiply
   165,138x = 253,037.50 × 253,037.50
4. Step 4: Simplify right side
   165,138x = 64,027,976,406.25
5. Step 5: Solve for x
   x = 64,027,976,406.25/165,138
6. Step 6: Final answer
   x = 387,724.06