Finding the Third Proportional to 52,853 and 110,078

Step by Step Solution

1. Step 1: Write the proportion equation
   52,853 : 110,078 = 110,078 : x
2. Step 2: Convert to fraction form
   52,853/110,078 = 110,078/x
3. Step 3: Cross multiply
   52,853x = 110,078 × 110,078
4. Step 4: Simplify right side
   52,853x = 12,117,166,084
5. Step 5: Solve for x
   x = 12,117,166,084/52,853
6. Step 6: Final answer
   x = 229,261.65