Finding the Third Proportional to 83,419.88 and 172,357.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,419.88 : 172,357.88 = 172,357.88 : x
2. Step 2: Convert to fraction form
   83,419.88/172,357.88 = 172,357.88/x
3. Step 3: Cross multiply
   83,419.88x = 172,357.88 × 172,357.88
4. Step 4: Simplify right side
   83,419.88x = 29,707,237,074.52
5. Step 5: Solve for x
   x = 29,707,237,074.52/83,419.88
6. Step 6: Final answer
   x = 356,117.02