Finding the Third Proportional to 69,864 and 152,760

Step by Step Solution

1. Step 1: Write the proportion equation
   69,864 : 152,760 = 152,760 : x
2. Step 2: Convert to fraction form
   69,864/152,760 = 152,760/x
3. Step 3: Cross multiply
   69,864x = 152,760 × 152,760
4. Step 4: Simplify right side
   69,864x = 23,335,617,600
5. Step 5: Solve for x
   x = 23,335,617,600/69,864
6. Step 6: Final answer
   x = 334,014.91