Finding the Third Proportional to 74,286 and 109,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,286 : 109,789.50 = 109,789.50 : x
2. Step 2: Convert to fraction form
   74,286/109,789.50 = 109,789.50/x
3. Step 3: Cross multiply
   74,286x = 109,789.50 × 109,789.50
4. Step 4: Simplify right side
   74,286x = 12,053,734,310.25
5. Step 5: Solve for x
   x = 12,053,734,310.25/74,286
6. Step 6: Final answer
   x = 162,261.18