Finding the Third Proportional to 49,563 and 108,522

Step by Step Solution

1. Step 1: Write the proportion equation
   49,563 : 108,522 = 108,522 : x
2. Step 2: Convert to fraction form
   49,563/108,522 = 108,522/x
3. Step 3: Cross multiply
   49,563x = 108,522 × 108,522
4. Step 4: Simplify right side
   49,563x = 11,777,024,484
5. Step 5: Solve for x
   x = 11,777,024,484/49,563
6. Step 6: Final answer
   x = 237,617.26