Finding the Third Proportional to 405,765 and 867,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,765 : 867,814.50 = 867,814.50 : x
2. Step 2: Convert to fraction form
   405,765/867,814.50 = 867,814.50/x
3. Step 3: Cross multiply
   405,765x = 867,814.50 × 867,814.50
4. Step 4: Simplify right side
   405,765x = 753,102,006,410.25
5. Step 5: Solve for x
   x = 753,102,006,410.25/405,765
6. Step 6: Final answer
   x = 1,856,005.34