Finding the Third Proportional to 69,712 and 152,480

Step by Step Solution

1. Step 1: Write the proportion equation
   69,712 : 152,480 = 152,480 : x
2. Step 2: Convert to fraction form
   69,712/152,480 = 152,480/x
3. Step 3: Cross multiply
   69,712x = 152,480 × 152,480
4. Step 4: Simplify right side
   69,712x = 23,250,150,400
5. Step 5: Solve for x
   x = 23,250,150,400/69,712
6. Step 6: Final answer
   x = 333,517.19