Finding the Third Proportional to 89,299.50 and 138,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,299.50 : 138,148.50 = 138,148.50 : x
2. Step 2: Convert to fraction form
   89,299.50/138,148.50 = 138,148.50/x
3. Step 3: Cross multiply
   89,299.50x = 138,148.50 × 138,148.50
4. Step 4: Simplify right side
   89,299.50x = 19,085,008,052.25
5. Step 5: Solve for x
   x = 19,085,008,052.25/89,299.50
6. Step 6: Final answer
   x = 213,719.09