Finding the Third Proportional to 54,648 and 115,776

Step by Step Solution

1. Step 1: Write the proportion equation
   54,648 : 115,776 = 115,776 : x
2. Step 2: Convert to fraction form
   54,648/115,776 = 115,776/x
3. Step 3: Cross multiply
   54,648x = 115,776 × 115,776
4. Step 4: Simplify right side
   54,648x = 13,404,082,176
5. Step 5: Solve for x
   x = 13,404,082,176/54,648
6. Step 6: Final answer
   x = 245,280.38