Finding the Third Proportional to 200,478 and 415,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,478 : 415,166.50 = 415,166.50 : x
2. Step 2: Convert to fraction form
   200,478/415,166.50 = 415,166.50/x
3. Step 3: Cross multiply
   200,478x = 415,166.50 × 415,166.50
4. Step 4: Simplify right side
   200,478x = 172,363,222,722.25
5. Step 5: Solve for x
   x = 172,363,222,722.25/200,478
6. Step 6: Final answer
   x = 859,761.28