Finding the Third Proportional to 89,156 and 185,783

Step by Step Solution

1. Step 1: Write the proportion equation
   89,156 : 185,783 = 185,783 : x
2. Step 2: Convert to fraction form
   89,156/185,783 = 185,783/x
3. Step 3: Cross multiply
   89,156x = 185,783 × 185,783
4. Step 4: Simplify right side
   89,156x = 34,515,323,089
5. Step 5: Solve for x
   x = 34,515,323,089/89,156
6. Step 6: Final answer
   x = 387,134.05