Finding the Third Proportional to 85,423 and 186,936

Step by Step Solution

1. Step 1: Write the proportion equation
   85,423 : 186,936 = 186,936 : x
2. Step 2: Convert to fraction form
   85,423/186,936 = 186,936/x
3. Step 3: Cross multiply
   85,423x = 186,936 × 186,936
4. Step 4: Simplify right side
   85,423x = 34,945,068,096
5. Step 5: Solve for x
   x = 34,945,068,096/85,423
6. Step 6: Final answer
   x = 409,082.66