Finding the Third Proportional to 69,710 and 152,761

Step by Step Solution

1. Step 1: Write the proportion equation
   69,710 : 152,761 = 152,761 : x
2. Step 2: Convert to fraction form
   69,710/152,761 = 152,761/x
3. Step 3: Cross multiply
   69,710x = 152,761 × 152,761
4. Step 4: Simplify right side
   69,710x = 23,335,923,121
5. Step 5: Solve for x
   x = 23,335,923,121/69,710
6. Step 6: Final answer
   x = 334,757.18