Finding the Third Proportional to 52,141 and 113,842

Step by Step Solution

1. Step 1: Write the proportion equation
   52,141 : 113,842 = 113,842 : x
2. Step 2: Convert to fraction form
   52,141/113,842 = 113,842/x
3. Step 3: Cross multiply
   52,141x = 113,842 × 113,842
4. Step 4: Simplify right side
   52,141x = 12,960,000,964
5. Step 5: Solve for x
   x = 12,960,000,964/52,141
6. Step 6: Final answer
   x = 248,556.82