Finding the Third Proportional to 86,271 and 185,654

Step by Step Solution

1. Step 1: Write the proportion equation
   86,271 : 185,654 = 185,654 : x
2. Step 2: Convert to fraction form
   86,271/185,654 = 185,654/x
3. Step 3: Cross multiply
   86,271x = 185,654 × 185,654
4. Step 4: Simplify right side
   86,271x = 34,467,407,716
5. Step 5: Solve for x
   x = 34,467,407,716/86,271
6. Step 6: Final answer
   x = 399,524.84