Finding the Third Proportional to 91,422 and 138,105

Step by Step Solution

1. Step 1: Write the proportion equation
   91,422 : 138,105 = 138,105 : x
2. Step 2: Convert to fraction form
   91,422/138,105 = 138,105/x
3. Step 3: Cross multiply
   91,422x = 138,105 × 138,105
4. Step 4: Simplify right side
   91,422x = 19,072,991,025
5. Step 5: Solve for x
   x = 19,072,991,025/91,422
6. Step 6: Final answer
   x = 208,625.83