Finding the Third Proportional to 89,238 and 138,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,238 : 138,176.50 = 138,176.50 : x
2. Step 2: Convert to fraction form
   89,238/138,176.50 = 138,176.50/x
3. Step 3: Cross multiply
   89,238x = 138,176.50 × 138,176.50
4. Step 4: Simplify right side
   89,238x = 19,092,745,152.25
5. Step 5: Solve for x
   x = 19,092,745,152.25/89,238
6. Step 6: Final answer
   x = 213,953.08