Finding the Third Proportional to 53,185.13 and 78,726.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53,185.13 : 78,726.38 = 78,726.38 : x
2. Step 2: Convert to fraction form
   53,185.13/78,726.38 = 78,726.38/x
3. Step 3: Cross multiply
   53,185.13x = 78,726.38 × 78,726.38
4. Step 4: Simplify right side
   53,185.13x = 6,197,842,120.64
5. Step 5: Solve for x
   x = 6,197,842,120.64/53,185.13
6. Step 6: Final answer
   x = 116,533.38