Finding the Third Proportional to 53,649 and 78,914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,649 : 78,914.25 = 78,914.25 : x
2. Step 2: Convert to fraction form
   53,649/78,914.25 = 78,914.25/x
3. Step 3: Cross multiply
   53,649x = 78,914.25 × 78,914.25
4. Step 4: Simplify right side
   53,649x = 6,227,458,853.06
5. Step 5: Solve for x
   x = 6,227,458,853.06/53,649
6. Step 6: Final answer
   x = 116,077.82