Finding the Third Proportional to 53,647.50 and 78,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,647.50 : 78,828.50 = 78,828.50 : x
2. Step 2: Convert to fraction form
   53,647.50/78,828.50 = 78,828.50/x
3. Step 3: Cross multiply
   53,647.50x = 78,828.50 × 78,828.50
4. Step 4: Simplify right side
   53,647.50x = 6,213,932,412.25
5. Step 5: Solve for x
   x = 6,213,932,412.25/53,647.50
6. Step 6: Final answer
   x = 115,828.93