Finding the Third Proportional to 89,702 and 142,761

Step by Step Solution

1. Step 1: Write the proportion equation
   89,702 : 142,761 = 142,761 : x
2. Step 2: Convert to fraction form
   89,702/142,761 = 142,761/x
3. Step 3: Cross multiply
   89,702x = 142,761 × 142,761
4. Step 4: Simplify right side
   89,702x = 20,380,703,121
5. Step 5: Solve for x
   x = 20,380,703,121/89,702
6. Step 6: Final answer
   x = 227,204.56