Finding the Third Proportional to 89,146 and 185,762

Step by Step Solution

1. Step 1: Write the proportion equation
   89,146 : 185,762 = 185,762 : x
2. Step 2: Convert to fraction form
   89,146/185,762 = 185,762/x
3. Step 3: Cross multiply
   89,146x = 185,762 × 185,762
4. Step 4: Simplify right side
   89,146x = 34,507,520,644
5. Step 5: Solve for x
   x = 34,507,520,644/89,146
6. Step 6: Final answer
   x = 387,089.95