Finding the Third Proportional to 89,277 and 138,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,277 : 138,325.50 = 138,325.50 : x
2. Step 2: Convert to fraction form
   89,277/138,325.50 = 138,325.50/x
3. Step 3: Cross multiply
   89,277x = 138,325.50 × 138,325.50
4. Step 4: Simplify right side
   89,277x = 19,133,943,950.25
5. Step 5: Solve for x
   x = 19,133,943,950.25/89,277
6. Step 6: Final answer
   x = 214,321.09