Finding the Third Proportional to 55,190 and 84,500

Step by Step Solution

1. Step 1: Write the proportion equation
   55,190 : 84,500 = 84,500 : x
2. Step 2: Convert to fraction form
   55,190/84,500 = 84,500/x
3. Step 3: Cross multiply
   55,190x = 84,500 × 84,500
4. Step 4: Simplify right side
   55,190x = 7,140,250,000
5. Step 5: Solve for x
   x = 7,140,250,000/55,190
6. Step 6: Final answer
   x = 129,375.79