Finding the Third Proportional to 189,463.50 and 405,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,463.50 : 405,184.50 = 405,184.50 : x
2. Step 2: Convert to fraction form
   189,463.50/405,184.50 = 405,184.50/x
3. Step 3: Cross multiply
   189,463.50x = 405,184.50 × 405,184.50
4. Step 4: Simplify right side
   189,463.50x = 164,174,479,040.25
5. Step 5: Solve for x
   x = 164,174,479,040.25/189,463.50
6. Step 6: Final answer
   x = 866,522.99