Finding the Third Proportional to 47,881 and 111,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,881 : 111,830.50 = 111,830.50 : x
2. Step 2: Convert to fraction form
   47,881/111,830.50 = 111,830.50/x
3. Step 3: Cross multiply
   47,881x = 111,830.50 × 111,830.50
4. Step 4: Simplify right side
   47,881x = 12,506,060,730.25
5. Step 5: Solve for x
   x = 12,506,060,730.25/47,881
6. Step 6: Final answer
   x = 261,190.47