Finding the Third Proportional to 53,185.50 and 78,728.06

Step by Step Solution

1. Step 1: Write the proportion equation
   53,185.50 : 78,728.06 = 78,728.06 : x
2. Step 2: Convert to fraction form
   53,185.50/78,728.06 = 78,728.06/x
3. Step 3: Cross multiply
   53,185.50x = 78,728.06 × 78,728.06
4. Step 4: Simplify right side
   53,185.50x = 6,198,107,825.00
5. Step 5: Solve for x
   x = 6,198,107,825.00/53,185.50
6. Step 6: Final answer
   x = 116,537.55