Finding the Third Proportional to 91,022 and 142,478

Step by Step Solution

1. Step 1: Write the proportion equation
   91,022 : 142,478 = 142,478 : x
2. Step 2: Convert to fraction form
   91,022/142,478 = 142,478/x
3. Step 3: Cross multiply
   91,022x = 142,478 × 142,478
4. Step 4: Simplify right side
   91,022x = 20,299,980,484
5. Step 5: Solve for x
   x = 20,299,980,484/91,022
6. Step 6: Final answer
   x = 223,022.79