Finding the Third Proportional to 288,662.50 and 415,805

Step by Step Solution

1. Step 1: Write the proportion equation
   288,662.50 : 415,805 = 415,805 : x
2. Step 2: Convert to fraction form
   288,662.50/415,805 = 415,805/x
3. Step 3: Cross multiply
   288,662.50x = 415,805 × 415,805
4. Step 4: Simplify right side
   288,662.50x = 172,893,798,025
5. Step 5: Solve for x
   x = 172,893,798,025/288,662.50
6. Step 6: Final answer
   x = 598,947.90