Finding the Third Proportional to 53,847 and 77,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,847 : 77,080.50 = 77,080.50 : x
2. Step 2: Convert to fraction form
   53,847/77,080.50 = 77,080.50/x
3. Step 3: Cross multiply
   53,847x = 77,080.50 × 77,080.50
4. Step 4: Simplify right side
   53,847x = 5,941,403,480.25
5. Step 5: Solve for x
   x = 5,941,403,480.25/53,847
6. Step 6: Final answer
   x = 110,338.62