Finding the Third Proportional to 69,840 and 152,720

Step by Step Solution

1. Step 1: Write the proportion equation
   69,840 : 152,720 = 152,720 : x
2. Step 2: Convert to fraction form
   69,840/152,720 = 152,720/x
3. Step 3: Cross multiply
   69,840x = 152,720 × 152,720
4. Step 4: Simplify right side
   69,840x = 23,323,398,400
5. Step 5: Solve for x
   x = 23,323,398,400/69,840
6. Step 6: Final answer
   x = 333,954.73