Finding the Third Proportional to 83,090 and 180,200

Step by Step Solution

1. Step 1: Write the proportion equation
   83,090 : 180,200 = 180,200 : x
2. Step 2: Convert to fraction form
   83,090/180,200 = 180,200/x
3. Step 3: Cross multiply
   83,090x = 180,200 × 180,200
4. Step 4: Simplify right side
   83,090x = 32,472,040,000
5. Step 5: Solve for x
   x = 32,472,040,000/83,090
6. Step 6: Final answer
   x = 390,805.63