Finding the Third Proportional to 71,892 and 105,264

Step by Step Solution

1. Step 1: Write the proportion equation
   71,892 : 105,264 = 105,264 : x
2. Step 2: Convert to fraction form
   71,892/105,264 = 105,264/x
3. Step 3: Cross multiply
   71,892x = 105,264 × 105,264
4. Step 4: Simplify right side
   71,892x = 11,080,509,696
5. Step 5: Solve for x
   x = 11,080,509,696/71,892
6. Step 6: Final answer
   x = 154,127.16