Finding the Third Proportional to 189,123 and 409,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,123 : 409,765.50 = 409,765.50 : x
2. Step 2: Convert to fraction form
   189,123/409,765.50 = 409,765.50/x
3. Step 3: Cross multiply
   189,123x = 409,765.50 × 409,765.50
4. Step 4: Simplify right side
   189,123x = 167,907,764,990.25
5. Step 5: Solve for x
   x = 167,907,764,990.25/189,123
6. Step 6: Final answer
   x = 887,823.08