Finding the Third Proportional to 76,694 and 157,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,694 : 157,105.50 = 157,105.50 : x
2. Step 2: Convert to fraction form
   76,694/157,105.50 = 157,105.50/x
3. Step 3: Cross multiply
   76,694x = 157,105.50 × 157,105.50
4. Step 4: Simplify right side
   76,694x = 24,682,138,130.25
5. Step 5: Solve for x
   x = 24,682,138,130.25/76,694
6. Step 6: Final answer
   x = 321,826.19