Finding the Third Proportional to 85,912 and 186,584

Step by Step Solution

1. Step 1: Write the proportion equation
   85,912 : 186,584 = 186,584 : x
2. Step 2: Convert to fraction form
   85,912/186,584 = 186,584/x
3. Step 3: Cross multiply
   85,912x = 186,584 × 186,584
4. Step 4: Simplify right side
   85,912x = 34,813,589,056
5. Step 5: Solve for x
   x = 34,813,589,056/85,912
6. Step 6: Final answer
   x = 405,223.82