Finding the Third Proportional to 72,431 and 111,927

Step by Step Solution

1. Step 1: Write the proportion equation
   72,431 : 111,927 = 111,927 : x
2. Step 2: Convert to fraction form
   72,431/111,927 = 111,927/x
3. Step 3: Cross multiply
   72,431x = 111,927 × 111,927
4. Step 4: Simplify right side
   72,431x = 12,527,653,329
5. Step 5: Solve for x
   x = 12,527,653,329/72,431
6. Step 6: Final answer
   x = 172,959.83