Finding the Third Proportional to 71,634 and 109,092

Step by Step Solution

1. Step 1: Write the proportion equation
   71,634 : 109,092 = 109,092 : x
2. Step 2: Convert to fraction form
   71,634/109,092 = 109,092/x
3. Step 3: Cross multiply
   71,634x = 109,092 × 109,092
4. Step 4: Simplify right side
   71,634x = 11,901,064,464
5. Step 5: Solve for x
   x = 11,901,064,464/71,634
6. Step 6: Final answer
   x = 166,137.09