Finding the Third Proportional to 82,354.50 and 120,389.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,354.50 : 120,389.25 = 120,389.25 : x
2. Step 2: Convert to fraction form
   82,354.50/120,389.25 = 120,389.25/x
3. Step 3: Cross multiply
   82,354.50x = 120,389.25 × 120,389.25
4. Step 4: Simplify right side
   82,354.50x = 14,493,571,515.56
5. Step 5: Solve for x
   x = 14,493,571,515.56/82,354.50
6. Step 6: Final answer
   x = 175,990.04