Finding the Third Proportional to 189,724.50 and 414,414

Step by Step Solution

1. Step 1: Write the proportion equation
   189,724.50 : 414,414 = 414,414 : x
2. Step 2: Convert to fraction form
   189,724.50/414,414 = 414,414/x
3. Step 3: Cross multiply
   189,724.50x = 414,414 × 414,414
4. Step 4: Simplify right side
   189,724.50x = 171,738,963,396
5. Step 5: Solve for x
   x = 171,738,963,396/189,724.50
6. Step 6: Final answer
   x = 905,201.82