Finding the Third Proportional to 85,036 and 186,200

Step by Step Solution

1. Step 1: Write the proportion equation
   85,036 : 186,200 = 186,200 : x
2. Step 2: Convert to fraction form
   85,036/186,200 = 186,200/x
3. Step 3: Cross multiply
   85,036x = 186,200 × 186,200
4. Step 4: Simplify right side
   85,036x = 34,670,440,000
5. Step 5: Solve for x
   x = 34,670,440,000/85,036
6. Step 6: Final answer
   x = 407,714.85