Finding the Third Proportional to 91,186 and 142,314

Step by Step Solution

1. Step 1: Write the proportion equation
   91,186 : 142,314 = 142,314 : x
2. Step 2: Convert to fraction form
   91,186/142,314 = 142,314/x
3. Step 3: Cross multiply
   91,186x = 142,314 × 142,314
4. Step 4: Simplify right side
   91,186x = 20,253,274,596
5. Step 5: Solve for x
   x = 20,253,274,596/91,186
6. Step 6: Final answer
   x = 222,109.48