Finding the Third Proportional to 189,914 and 416,060

Step by Step Solution

1. Step 1: Write the proportion equation
   189,914 : 416,060 = 416,060 : x
2. Step 2: Convert to fraction form
   189,914/416,060 = 416,060/x
3. Step 3: Cross multiply
   189,914x = 416,060 × 416,060
4. Step 4: Simplify right side
   189,914x = 173,105,923,600
5. Step 5: Solve for x
   x = 173,105,923,600/189,914
6. Step 6: Final answer
   x = 911,496.38