Finding the Third Proportional to 53,584.88 and 78,828.19

Step by Step Solution

1. Step 1: Write the proportion equation
   53,584.88 : 78,828.19 = 78,828.19 : x
2. Step 2: Convert to fraction form
   53,584.88/78,828.19 = 78,828.19/x
3. Step 3: Cross multiply
   53,584.88x = 78,828.19 × 78,828.19
4. Step 4: Simplify right side
   53,584.88x = 6,213,883,144.54
5. Step 5: Solve for x
   x = 6,213,883,144.54/53,584.88
6. Step 6: Final answer
   x = 115,963.38