Finding the Third Proportional to 78,261 and 104,844

Step by Step Solution

1. Step 1: Write the proportion equation
   78,261 : 104,844 = 104,844 : x
2. Step 2: Convert to fraction form
   78,261/104,844 = 104,844/x
3. Step 3: Cross multiply
   78,261x = 104,844 × 104,844
4. Step 4: Simplify right side
   78,261x = 10,992,264,336
5. Step 5: Solve for x
   x = 10,992,264,336/78,261
6. Step 6: Final answer
   x = 140,456.48