Finding the Third Proportional to 82,353.38 and 120,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,353.38 : 120,388.50 = 120,388.50 : x
2. Step 2: Convert to fraction form
   82,353.38/120,388.50 = 120,388.50/x
3. Step 3: Cross multiply
   82,353.38x = 120,388.50 × 120,388.50
4. Step 4: Simplify right side
   82,353.38x = 14,493,390,932.25
5. Step 5: Solve for x
   x = 14,493,390,932.25/82,353.38
6. Step 6: Final answer
   x = 175,990.25