Finding the Third Proportional to 47,775 and 111,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,775 : 111,562.50 = 111,562.50 : x
2. Step 2: Convert to fraction form
   47,775/111,562.50 = 111,562.50/x
3. Step 3: Cross multiply
   47,775x = 111,562.50 × 111,562.50
4. Step 4: Simplify right side
   47,775x = 12,446,191,406.25
5. Step 5: Solve for x
   x = 12,446,191,406.25/47,775
6. Step 6: Final answer
   x = 260,516.83