Finding the Third Proportional to 105,543 and 157,788

Step by Step Solution

1. Step 1: Write the proportion equation
   105,543 : 157,788 = 157,788 : x
2. Step 2: Convert to fraction form
   105,543/157,788 = 157,788/x
3. Step 3: Cross multiply
   105,543x = 157,788 × 157,788
4. Step 4: Simplify right side
   105,543x = 24,897,052,944
5. Step 5: Solve for x
   x = 24,897,052,944/105,543
6. Step 6: Final answer
   x = 235,894.88