Finding the Third Proportional to 69,948 and 152,309.25

Step by Step Solution

1. Step 1: Write the proportion equation
   69,948 : 152,309.25 = 152,309.25 : x
2. Step 2: Convert to fraction form
   69,948/152,309.25 = 152,309.25/x
3. Step 3: Cross multiply
   69,948x = 152,309.25 × 152,309.25
4. Step 4: Simplify right side
   69,948x = 23,198,107,635.56
5. Step 5: Solve for x
   x = 23,198,107,635.56/69,948
6. Step 6: Final answer
   x = 331,647.90