Finding the Third Proportional to 189,607.50 and 405,459

Step by Step Solution

1. Step 1: Write the proportion equation
   189,607.50 : 405,459 = 405,459 : x
2. Step 2: Convert to fraction form
   189,607.50/405,459 = 405,459/x
3. Step 3: Cross multiply
   189,607.50x = 405,459 × 405,459
4. Step 4: Simplify right side
   189,607.50x = 164,397,000,681
5. Step 5: Solve for x
   x = 164,397,000,681/189,607.50
6. Step 6: Final answer
   x = 867,038.49