Finding the Third Proportional to 52,142 and 110,022

Step by Step Solution

1. Step 1: Write the proportion equation
   52,142 : 110,022 = 110,022 : x
2. Step 2: Convert to fraction form
   52,142/110,022 = 110,022/x
3. Step 3: Cross multiply
   52,142x = 110,022 × 110,022
4. Step 4: Simplify right side
   52,142x = 12,104,840,484
5. Step 5: Solve for x
   x = 12,104,840,484/52,142
6. Step 6: Final answer
   x = 232,151.44