Finding the Third Proportional to 105,068 and 157,231

Step by Step Solution

1. Step 1: Write the proportion equation
   105,068 : 157,231 = 157,231 : x
2. Step 2: Convert to fraction form
   105,068/157,231 = 157,231/x
3. Step 3: Cross multiply
   105,068x = 157,231 × 157,231
4. Step 4: Simplify right side
   105,068x = 24,721,587,361
5. Step 5: Solve for x
   x = 24,721,587,361/105,068
6. Step 6: Final answer
   x = 235,291.31