Finding the Third Proportional to 47,985 and 111,552

Step by Step Solution

1. Step 1: Write the proportion equation
   47,985 : 111,552 = 111,552 : x
2. Step 2: Convert to fraction form
   47,985/111,552 = 111,552/x
3. Step 3: Cross multiply
   47,985x = 111,552 × 111,552
4. Step 4: Simplify right side
   47,985x = 12,443,848,704
5. Step 5: Solve for x
   x = 12,443,848,704/47,985
6. Step 6: Final answer
   x = 259,327.89