Finding the Third Proportional to 47,776 and 111,564

Step by Step Solution

1. Step 1: Write the proportion equation
   47,776 : 111,564 = 111,564 : x
2. Step 2: Convert to fraction form
   47,776/111,564 = 111,564/x
3. Step 3: Cross multiply
   47,776x = 111,564 × 111,564
4. Step 4: Simplify right side
   47,776x = 12,446,526,096
5. Step 5: Solve for x
   x = 12,446,526,096/47,776
6. Step 6: Final answer
   x = 260,518.38