Finding the Third Proportional to 83,419.50 and 179,962

Step by Step Solution

1. Step 1: Write the proportion equation
   83,419.50 : 179,962 = 179,962 : x
2. Step 2: Convert to fraction form
   83,419.50/179,962 = 179,962/x
3. Step 3: Cross multiply
   83,419.50x = 179,962 × 179,962
4. Step 4: Simplify right side
   83,419.50x = 32,386,321,444
5. Step 5: Solve for x
   x = 32,386,321,444/83,419.50
6. Step 6: Final answer
   x = 388,234.42