Finding the Third Proportional to 106,767 and 157,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,767 : 157,078.50 = 157,078.50 : x
2. Step 2: Convert to fraction form
   106,767/157,078.50 = 157,078.50/x
3. Step 3: Cross multiply
   106,767x = 157,078.50 × 157,078.50
4. Step 4: Simplify right side
   106,767x = 24,673,655,162.25
5. Step 5: Solve for x
   x = 24,673,655,162.25/106,767
6. Step 6: Final answer
   x = 231,098.14