Finding the Third Proportional to 53,559.98 and 78,682.64

Step by Step Solution

1. Step 1: Write the proportion equation
   53,559.98 : 78,682.64 = 78,682.64 : x
2. Step 2: Convert to fraction form
   53,559.98/78,682.64 = 78,682.64/x
3. Step 3: Cross multiply
   53,559.98x = 78,682.64 × 78,682.64
4. Step 4: Simplify right side
   53,559.98x = 6,190,957,935.72
5. Step 5: Solve for x
   x = 6,190,957,935.72/53,559.98
6. Step 6: Final answer
   x = 115,589.24