Finding the Third Proportional to 413,859 and 641,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,859 : 641,077.50 = 641,077.50 : x
2. Step 2: Convert to fraction form
   413,859/641,077.50 = 641,077.50/x
3. Step 3: Cross multiply
   413,859x = 641,077.50 × 641,077.50
4. Step 4: Simplify right side
   413,859x = 410,980,361,006.25
5. Step 5: Solve for x
   x = 410,980,361,006.25/413,859
6. Step 6: Final answer
   x = 993,044.40