Finding the Third Proportional to 75,522.38 and 102,196.69

Step by Step Solution

1. Step 1: Write the proportion equation
   75,522.38 : 102,196.69 = 102,196.69 : x
2. Step 2: Convert to fraction form
   75,522.38/102,196.69 = 102,196.69/x
3. Step 3: Cross multiply
   75,522.38x = 102,196.69 × 102,196.69
4. Step 4: Simplify right side
   75,522.38x = 10,444,162,935.97
5. Step 5: Solve for x
   x = 10,444,162,935.97/75,522.38
6. Step 6: Final answer
   x = 138,292.30