Finding the Third Proportional to 49,584 and 109,052

Step by Step Solution

1. Step 1: Write the proportion equation
   49,584 : 109,052 = 109,052 : x
2. Step 2: Convert to fraction form
   49,584/109,052 = 109,052/x
3. Step 3: Cross multiply
   49,584x = 109,052 × 109,052
4. Step 4: Simplify right side
   49,584x = 11,892,338,704
5. Step 5: Solve for x
   x = 11,892,338,704/49,584
6. Step 6: Final answer
   x = 239,842.26