Finding the Third Proportional to 89,724 and 188,748

Step by Step Solution

1. Step 1: Write the proportion equation
   89,724 : 188,748 = 188,748 : x
2. Step 2: Convert to fraction form
   89,724/188,748 = 188,748/x
3. Step 3: Cross multiply
   89,724x = 188,748 × 188,748
4. Step 4: Simplify right side
   89,724x = 35,625,807,504
5. Step 5: Solve for x
   x = 35,625,807,504/89,724
6. Step 6: Final answer
   x = 397,059.96