Finding the Third Proportional to 86,229 and 185,580

Step by Step Solution

1. Step 1: Write the proportion equation
   86,229 : 185,580 = 185,580 : x
2. Step 2: Convert to fraction form
   86,229/185,580 = 185,580/x
3. Step 3: Cross multiply
   86,229x = 185,580 × 185,580
4. Step 4: Simplify right side
   86,229x = 34,439,936,400
5. Step 5: Solve for x
   x = 34,439,936,400/86,229
6. Step 6: Final answer
   x = 399,400.86