Finding the Third Proportional to 85,014.50 and 186,188

Step by Step Solution

1. Step 1: Write the proportion equation
   85,014.50 : 186,188 = 186,188 : x
2. Step 2: Convert to fraction form
   85,014.50/186,188 = 186,188/x
3. Step 3: Cross multiply
   85,014.50x = 186,188 × 186,188
4. Step 4: Simplify right side
   85,014.50x = 34,665,971,344
5. Step 5: Solve for x
   x = 34,665,971,344/85,014.50
6. Step 6: Final answer
   x = 407,765.40