Finding the Third Proportional to 89,739 and 138,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,739 : 138,352.50 = 138,352.50 : x
2. Step 2: Convert to fraction form
   89,739/138,352.50 = 138,352.50/x
3. Step 3: Cross multiply
   89,739x = 138,352.50 × 138,352.50
4. Step 4: Simplify right side
   89,739x = 19,141,414,256.25
5. Step 5: Solve for x
   x = 19,141,414,256.25/89,739
6. Step 6: Final answer
   x = 213,300.95