Finding the Third Proportional to 413,853 and 641,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,853 : 641,068.50 = 641,068.50 : x
2. Step 2: Convert to fraction form
   413,853/641,068.50 = 641,068.50/x
3. Step 3: Cross multiply
   413,853x = 641,068.50 × 641,068.50
4. Step 4: Simplify right side
   413,853x = 410,968,821,692.25
5. Step 5: Solve for x
   x = 410,968,821,692.25/413,853
6. Step 6: Final answer
   x = 993,030.91