Finding the Third Proportional to 89,289 and 138,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,289 : 138,343.50 = 138,343.50 : x
2. Step 2: Convert to fraction form
   89,289/138,343.50 = 138,343.50/x
3. Step 3: Cross multiply
   89,289x = 138,343.50 × 138,343.50
4. Step 4: Simplify right side
   89,289x = 19,138,923,992.25
5. Step 5: Solve for x
   x = 19,138,923,992.25/89,289
6. Step 6: Final answer
   x = 214,348.06