Finding the Third Proportional to 83,288 and 109,350

Step by Step Solution

1. Step 1: Write the proportion equation
   83,288 : 109,350 = 109,350 : x
2. Step 2: Convert to fraction form
   83,288/109,350 = 109,350/x
3. Step 3: Cross multiply
   83,288x = 109,350 × 109,350
4. Step 4: Simplify right side
   83,288x = 11,957,422,500
5. Step 5: Solve for x
   x = 11,957,422,500/83,288
6. Step 6: Final answer
   x = 143,567.17