Finding the Third Proportional to 71,264 and 108,160

Step by Step Solution

1. Step 1: Write the proportion equation
   71,264 : 108,160 = 108,160 : x
2. Step 2: Convert to fraction form
   71,264/108,160 = 108,160/x
3. Step 3: Cross multiply
   71,264x = 108,160 × 108,160
4. Step 4: Simplify right side
   71,264x = 11,698,585,600
5. Step 5: Solve for x
   x = 11,698,585,600/71,264
6. Step 6: Final answer
   x = 164,158.42