Finding the Third Proportional to 91,414 and 138,095

Step by Step Solution

1. Step 1: Write the proportion equation
   91,414 : 138,095 = 138,095 : x
2. Step 2: Convert to fraction form
   91,414/138,095 = 138,095/x
3. Step 3: Cross multiply
   91,414x = 138,095 × 138,095
4. Step 4: Simplify right side
   91,414x = 19,070,229,025
5. Step 5: Solve for x
   x = 19,070,229,025/91,414
6. Step 6: Final answer
   x = 208,613.88