Finding the Third Proportional to 82,359 and 123,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,359 : 123,169.50 = 123,169.50 : x
2. Step 2: Convert to fraction form
   82,359/123,169.50 = 123,169.50/x
3. Step 3: Cross multiply
   82,359x = 123,169.50 × 123,169.50
4. Step 4: Simplify right side
   82,359x = 15,170,725,730.25
5. Step 5: Solve for x
   x = 15,170,725,730.25/82,359
6. Step 6: Final answer
   x = 184,202.40