Finding the Third Proportional to 89,157 and 185,784

Step by Step Solution

1. Step 1: Write the proportion equation
   89,157 : 185,784 = 185,784 : x
2. Step 2: Convert to fraction form
   89,157/185,784 = 185,784/x
3. Step 3: Cross multiply
   89,157x = 185,784 × 185,784
4. Step 4: Simplify right side
   89,157x = 34,515,694,656
5. Step 5: Solve for x
   x = 34,515,694,656/89,157
6. Step 6: Final answer
   x = 387,133.87