Finding the Third Proportional to 53,659 and 78,842

Step by Step Solution

1. Step 1: Write the proportion equation
   53,659 : 78,842 = 78,842 : x
2. Step 2: Convert to fraction form
   53,659/78,842 = 78,842/x
3. Step 3: Cross multiply
   53,659x = 78,842 × 78,842
4. Step 4: Simplify right side
   53,659x = 6,216,060,964
5. Step 5: Solve for x
   x = 6,216,060,964/53,659
6. Step 6: Final answer
   x = 115,843.77