Finding the Third Proportional to 107,026.50 and 157,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,026.50 : 157,435.50 = 157,435.50 : x
2. Step 2: Convert to fraction form
   107,026.50/157,435.50 = 157,435.50/x
3. Step 3: Cross multiply
   107,026.50x = 157,435.50 × 157,435.50
4. Step 4: Simplify right side
   107,026.50x = 24,785,936,660.25
5. Step 5: Solve for x
   x = 24,785,936,660.25/107,026.50
6. Step 6: Final answer
   x = 231,586.91