Finding the Third Proportional to 47,610 and 111,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,610 : 111,268.50 = 111,268.50 : x
2. Step 2: Convert to fraction form
   47,610/111,268.50 = 111,268.50/x
3. Step 3: Cross multiply
   47,610x = 111,268.50 × 111,268.50
4. Step 4: Simplify right side
   47,610x = 12,380,679,092.25
5. Step 5: Solve for x
   x = 12,380,679,092.25/47,610
6. Step 6: Final answer
   x = 260,043.67