Finding the Third Proportional to 189,390 and 414,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,390 : 414,409.50 = 414,409.50 : x
2. Step 2: Convert to fraction form
   189,390/414,409.50 = 414,409.50/x
3. Step 3: Cross multiply
   189,390x = 414,409.50 × 414,409.50
4. Step 4: Simplify right side
   189,390x = 171,735,233,690.25
5. Step 5: Solve for x
   x = 171,735,233,690.25/189,390
6. Step 6: Final answer
   x = 906,780.89