Finding the Third Proportional to 52,570 and 114,852

Step by Step Solution

1. Step 1: Write the proportion equation
   52,570 : 114,852 = 114,852 : x
2. Step 2: Convert to fraction form
   52,570/114,852 = 114,852/x
3. Step 3: Cross multiply
   52,570x = 114,852 × 114,852
4. Step 4: Simplify right side
   52,570x = 13,190,981,904
5. Step 5: Solve for x
   x = 13,190,981,904/52,570
6. Step 6: Final answer
   x = 250,922.24