Finding the Third Proportional to 89,689 and 138,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,689 : 138,793.50 = 138,793.50 : x
2. Step 2: Convert to fraction form
   89,689/138,793.50 = 138,793.50/x
3. Step 3: Cross multiply
   89,689x = 138,793.50 × 138,793.50
4. Step 4: Simplify right side
   89,689x = 19,263,635,642.25
5. Step 5: Solve for x
   x = 19,263,635,642.25/89,689
6. Step 6: Final answer
   x = 214,782.59