Finding the Third Proportional to 52,842 and 113,369

Step by Step Solution

1. Step 1: Write the proportion equation
   52,842 : 113,369 = 113,369 : x
2. Step 2: Convert to fraction form
   52,842/113,369 = 113,369/x
3. Step 3: Cross multiply
   52,842x = 113,369 × 113,369
4. Step 4: Simplify right side
   52,842x = 12,852,530,161
5. Step 5: Solve for x
   x = 12,852,530,161/52,842
6. Step 6: Final answer
   x = 243,225.66