Finding the Third Proportional to 189,673 and 406,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,673 : 406,406.50 = 406,406.50 : x
2. Step 2: Convert to fraction form
   189,673/406,406.50 = 406,406.50/x
3. Step 3: Cross multiply
   189,673x = 406,406.50 × 406,406.50
4. Step 4: Simplify right side
   189,673x = 165,166,243,242.25
5. Step 5: Solve for x
   x = 165,166,243,242.25/189,673
6. Step 6: Final answer
   x = 870,794.70