Finding the Third Proportional to 455,949 and 684,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   455,949 : 684,166.50 = 684,166.50 : x
2. Step 2: Convert to fraction form
   455,949/684,166.50 = 684,166.50/x
3. Step 3: Cross multiply
   455,949x = 684,166.50 × 684,166.50
4. Step 4: Simplify right side
   455,949x = 468,083,799,722.25
5. Step 5: Solve for x
   x = 468,083,799,722.25/455,949
6. Step 6: Final answer
   x = 1,026,614.38