Finding the Third Proportional to 52,143 and 113,847

Step by Step Solution

1. Step 1: Write the proportion equation
   52,143 : 113,847 = 113,847 : x
2. Step 2: Convert to fraction form
   52,143/113,847 = 113,847/x
3. Step 3: Cross multiply
   52,143x = 113,847 × 113,847
4. Step 4: Simplify right side
   52,143x = 12,961,139,409
5. Step 5: Solve for x
   x = 12,961,139,409/52,143
6. Step 6: Final answer
   x = 248,569.12