Finding the Third Proportional to 105,024 and 157,128

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 157,128 = 157,128 : x
2. Step 2: Convert to fraction form
   105,024/157,128 = 157,128/x
3. Step 3: Cross multiply
   105,024x = 157,128 × 157,128
4. Step 4: Simplify right side
   105,024x = 24,689,208,384
5. Step 5: Solve for x
   x = 24,689,208,384/105,024
6. Step 6: Final answer
   x = 235,081.59