Finding the Third Proportional to 52,842 and 113,076

Step by Step Solution

1. Step 1: Write the proportion equation
   52,842 : 113,076 = 113,076 : x
2. Step 2: Convert to fraction form
   52,842/113,076 = 113,076/x
3. Step 3: Cross multiply
   52,842x = 113,076 × 113,076
4. Step 4: Simplify right side
   52,842x = 12,786,181,776
5. Step 5: Solve for x
   x = 12,786,181,776/52,842
6. Step 6: Final answer
   x = 241,970.06