Finding the Third Proportional to 54,468 and 117,983.25

Step by Step Solution

1. Step 1: Write the proportion equation
   54,468 : 117,983.25 = 117,983.25 : x
2. Step 2: Convert to fraction form
   54,468/117,983.25 = 117,983.25/x
3. Step 3: Cross multiply
   54,468x = 117,983.25 × 117,983.25
4. Step 4: Simplify right side
   54,468x = 13,920,047,280.56
5. Step 5: Solve for x
   x = 13,920,047,280.56/54,468
6. Step 6: Final answer
   x = 255,563.77