Finding the Third Proportional to 105,140 and 157,554

Step by Step Solution

1. Step 1: Write the proportion equation
   105,140 : 157,554 = 157,554 : x
2. Step 2: Convert to fraction form
   105,140/157,554 = 157,554/x
3. Step 3: Cross multiply
   105,140x = 157,554 × 157,554
4. Step 4: Simplify right side
   105,140x = 24,823,262,916
5. Step 5: Solve for x
   x = 24,823,262,916/105,140
6. Step 6: Final answer
   x = 236,097.23