Finding the Third Proportional to 53,674 and 78,870

Step by Step Solution

1. Step 1: Write the proportion equation
   53,674 : 78,870 = 78,870 : x
2. Step 2: Convert to fraction form
   53,674/78,870 = 78,870/x
3. Step 3: Cross multiply
   53,674x = 78,870 × 78,870
4. Step 4: Simplify right side
   53,674x = 6,220,476,900
5. Step 5: Solve for x
   x = 6,220,476,900/53,674
6. Step 6: Final answer
   x = 115,893.67