Finding the Third Proportional to 49,592 and 109,012

Step by Step Solution

1. Step 1: Write the proportion equation
   49,592 : 109,012 = 109,012 : x
2. Step 2: Convert to fraction form
   49,592/109,012 = 109,012/x
3. Step 3: Cross multiply
   49,592x = 109,012 × 109,012
4. Step 4: Simplify right side
   49,592x = 11,883,616,144
5. Step 5: Solve for x
   x = 11,883,616,144/49,592
6. Step 6: Final answer
   x = 239,627.68