Finding the Third Proportional to 47,830.50 and 111,152.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,830.50 : 111,152.25 = 111,152.25 : x
2. Step 2: Convert to fraction form
   47,830.50/111,152.25 = 111,152.25/x
3. Step 3: Cross multiply
   47,830.50x = 111,152.25 × 111,152.25
4. Step 4: Simplify right side
   47,830.50x = 12,354,822,680.06
5. Step 5: Solve for x
   x = 12,354,822,680.06/47,830.50
6. Step 6: Final answer
   x = 258,304.28