Finding the Third Proportional to 105,084 and 157,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,084 : 157,648.50 = 157,648.50 : x
2. Step 2: Convert to fraction form
   105,084/157,648.50 = 157,648.50/x
3. Step 3: Cross multiply
   105,084x = 157,648.50 × 157,648.50
4. Step 4: Simplify right side
   105,084x = 24,853,049,552.25
5. Step 5: Solve for x
   x = 24,853,049,552.25/105,084
6. Step 6: Final answer
   x = 236,506.50