Finding the Third Proportional to 165,298.50 and 245,517.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165,298.50 : 245,517.25 = 245,517.25 : x
2. Step 2: Convert to fraction form
   165,298.50/245,517.25 = 245,517.25/x
3. Step 3: Cross multiply
   165,298.50x = 245,517.25 × 245,517.25
4. Step 4: Simplify right side
   165,298.50x = 60,278,720,047.56
5. Step 5: Solve for x
   x = 60,278,720,047.56/165,298.50
6. Step 6: Final answer
   x = 364,665.86