Finding the Third Proportional to 76,683.75 and 157,086

Step by Step Solution

1. Step 1: Write the proportion equation
   76,683.75 : 157,086 = 157,086 : x
2. Step 2: Convert to fraction form
   76,683.75/157,086 = 157,086/x
3. Step 3: Cross multiply
   76,683.75x = 157,086 × 157,086
4. Step 4: Simplify right side
   76,683.75x = 24,676,011,396
5. Step 5: Solve for x
   x = 24,676,011,396/76,683.75
6. Step 6: Final answer
   x = 321,789.32