Finding the Third Proportional to 86,146 and 185,908

Step by Step Solution

1. Step 1: Write the proportion equation
   86,146 : 185,908 = 185,908 : x
2. Step 2: Convert to fraction form
   86,146/185,908 = 185,908/x
3. Step 3: Cross multiply
   86,146x = 185,908 × 185,908
4. Step 4: Simplify right side
   86,146x = 34,561,784,464
5. Step 5: Solve for x
   x = 34,561,784,464/86,146
6. Step 6: Final answer
   x = 401,200.11