Finding the Third Proportional to 128,689 and 185,650

Step by Step Solution

1. Step 1: Write the proportion equation
   128,689 : 185,650 = 185,650 : x
2. Step 2: Convert to fraction form
   128,689/185,650 = 185,650/x
3. Step 3: Cross multiply
   128,689x = 185,650 × 185,650
4. Step 4: Simplify right side
   128,689x = 34,465,922,500
5. Step 5: Solve for x
   x = 34,465,922,500/128,689
6. Step 6: Final answer
   x = 267,823.38