Finding the Third Proportional to 69,680 and 152,448

Step by Step Solution

1. Step 1: Write the proportion equation
   69,680 : 152,448 = 152,448 : x
2. Step 2: Convert to fraction form
   69,680/152,448 = 152,448/x
3. Step 3: Cross multiply
   69,680x = 152,448 × 152,448
4. Step 4: Simplify right side
   69,680x = 23,240,392,704
5. Step 5: Solve for x
   x = 23,240,392,704/69,680
6. Step 6: Final answer
   x = 333,530.32