Finding the Third Proportional to 47,101.50 and 111,206.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,101.50 : 111,206.25 = 111,206.25 : x
2. Step 2: Convert to fraction form
   47,101.50/111,206.25 = 111,206.25/x
3. Step 3: Cross multiply
   47,101.50x = 111,206.25 × 111,206.25
4. Step 4: Simplify right side
   47,101.50x = 12,366,830,039.06
5. Step 5: Solve for x
   x = 12,366,830,039.06/47,101.50
6. Step 6: Final answer
   x = 262,557.03