Finding the Third Proportional to 54,792 and 116,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,792 : 116,644.50 = 116,644.50 : x
2. Step 2: Convert to fraction form
   54,792/116,644.50 = 116,644.50/x
3. Step 3: Cross multiply
   54,792x = 116,644.50 × 116,644.50
4. Step 4: Simplify right side
   54,792x = 13,605,939,380.25
5. Step 5: Solve for x
   x = 13,605,939,380.25/54,792
6. Step 6: Final answer
   x = 248,319.82