Finding the Third Proportional to 89,097 and 138,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,097 : 138,406.50 = 138,406.50 : x
2. Step 2: Convert to fraction form
   89,097/138,406.50 = 138,406.50/x
3. Step 3: Cross multiply
   89,097x = 138,406.50 × 138,406.50
4. Step 4: Simplify right side
   89,097x = 19,156,359,242.25
5. Step 5: Solve for x
   x = 19,156,359,242.25/89,097
6. Step 6: Final answer
   x = 215,005.66