Finding the Third Proportional to 83,498.34 and 175,199.20

Step by Step Solution

1. Step 1: Write the proportion equation
   83,498.34 : 175,199.20 = 175,199.20 : x
2. Step 2: Convert to fraction form
   83,498.34/175,199.20 = 175,199.20/x
3. Step 3: Cross multiply
   83,498.34x = 175,199.20 × 175,199.20
4. Step 4: Simplify right side
   83,498.34x = 30,694,760,775.64
5. Step 5: Solve for x
   x = 30,694,760,775.64/83,498.34
6. Step 6: Final answer
   x = 367,609.22