Finding the Third Proportional to 78,842 and 113,341

Step by Step Solution

1. Step 1: Write the proportion equation
   78,842 : 113,341 = 113,341 : x
2. Step 2: Convert to fraction form
   78,842/113,341 = 113,341/x
3. Step 3: Cross multiply
   78,842x = 113,341 × 113,341
4. Step 4: Simplify right side
   78,842x = 12,846,182,281
5. Step 5: Solve for x
   x = 12,846,182,281/78,842
6. Step 6: Final answer
   x = 162,935.77