Finding the Third Proportional to 71,164 and 109,158

Step by Step Solution

1. Step 1: Write the proportion equation
   71,164 : 109,158 = 109,158 : x
2. Step 2: Convert to fraction form
   71,164/109,158 = 109,158/x
3. Step 3: Cross multiply
   71,164x = 109,158 × 109,158
4. Step 4: Simplify right side
   71,164x = 11,915,468,964
5. Step 5: Solve for x
   x = 11,915,468,964/71,164
6. Step 6: Final answer
   x = 167,436.75