Finding the Third Proportional to 53,356.50 and 80,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,356.50 : 80,176.50 = 80,176.50 : x
2. Step 2: Convert to fraction form
   53,356.50/80,176.50 = 80,176.50/x
3. Step 3: Cross multiply
   53,356.50x = 80,176.50 × 80,176.50
4. Step 4: Simplify right side
   53,356.50x = 6,428,271,152.25
5. Step 5: Solve for x
   x = 6,428,271,152.25/53,356.50
6. Step 6: Final answer
   x = 120,477.75