Finding the Third Proportional to 33,398 and 78,842

Step by Step Solution

1. Step 1: Write the proportion equation
   33,398 : 78,842 = 78,842 : x
2. Step 2: Convert to fraction form
   33,398/78,842 = 78,842/x
3. Step 3: Cross multiply
   33,398x = 78,842 × 78,842
4. Step 4: Simplify right side
   33,398x = 6,216,060,964
5. Step 5: Solve for x
   x = 6,216,060,964/33,398
6. Step 6: Final answer
   x = 186,120.75