Finding the Third Proportional to 85,858 and 186,490

Step by Step Solution

1. Step 1: Write the proportion equation
   85,858 : 186,490 = 186,490 : x
2. Step 2: Convert to fraction form
   85,858/186,490 = 186,490/x
3. Step 3: Cross multiply
   85,858x = 186,490 × 186,490
4. Step 4: Simplify right side
   85,858x = 34,778,520,100
5. Step 5: Solve for x
   x = 34,778,520,100/85,858
6. Step 6: Final answer
   x = 405,070.23