Finding the Third Proportional to 85,454 and 187,000

Step by Step Solution

1. Step 1: Write the proportion equation
   85,454 : 187,000 = 187,000 : x
2. Step 2: Convert to fraction form
   85,454/187,000 = 187,000/x
3. Step 3: Cross multiply
   85,454x = 187,000 × 187,000
4. Step 4: Simplify right side
   85,454x = 34,969,000,000
5. Step 5: Solve for x
   x = 34,969,000,000/85,454
6. Step 6: Final answer
   x = 409,214.31