Finding the Third Proportional to 89,150 and 185,768

Step by Step Solution

1. Step 1: Write the proportion equation
   89,150 : 185,768 = 185,768 : x
2. Step 2: Convert to fraction form
   89,150/185,768 = 185,768/x
3. Step 3: Cross multiply
   89,150x = 185,768 × 185,768
4. Step 4: Simplify right side
   89,150x = 34,509,749,824
5. Step 5: Solve for x
   x = 34,509,749,824/89,150
6. Step 6: Final answer
   x = 387,097.59