Finding the Third Proportional to 69,942 and 109,098

Step by Step Solution

1. Step 1: Write the proportion equation
   69,942 : 109,098 = 109,098 : x
2. Step 2: Convert to fraction form
   69,942/109,098 = 109,098/x
3. Step 3: Cross multiply
   69,942x = 109,098 × 109,098
4. Step 4: Simplify right side
   69,942x = 11,902,373,604
5. Step 5: Solve for x
   x = 11,902,373,604/69,942
6. Step 6: Final answer
   x = 170,174.91