Finding the Third Proportional to 86,502 and 185,936

Step by Step Solution

1. Step 1: Write the proportion equation
   86,502 : 185,936 = 185,936 : x
2. Step 2: Convert to fraction form
   86,502/185,936 = 185,936/x
3. Step 3: Cross multiply
   86,502x = 185,936 × 185,936
4. Step 4: Simplify right side
   86,502x = 34,572,196,096
5. Step 5: Solve for x
   x = 34,572,196,096/86,502
6. Step 6: Final answer
   x = 399,669.33