Finding the Third Proportional to 53,682.75 and 78,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,682.75 : 78,880.50 = 78,880.50 : x
2. Step 2: Convert to fraction form
   53,682.75/78,880.50 = 78,880.50/x
3. Step 3: Cross multiply
   53,682.75x = 78,880.50 × 78,880.50
4. Step 4: Simplify right side
   53,682.75x = 6,222,133,280.25
5. Step 5: Solve for x
   x = 6,222,133,280.25/53,682.75
6. Step 6: Final answer
   x = 115,905.64