Finding the Third Proportional to 89,274 and 138,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,274 : 138,171.50 = 138,171.50 : x
2. Step 2: Convert to fraction form
   89,274/138,171.50 = 138,171.50/x
3. Step 3: Cross multiply
   89,274x = 138,171.50 × 138,171.50
4. Step 4: Simplify right side
   89,274x = 19,091,363,412.25
5. Step 5: Solve for x
   x = 19,091,363,412.25/89,274
6. Step 6: Final answer
   x = 213,851.33