Finding the Third Proportional to 416,005 and 594,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,005 : 594,475.50 = 594,475.50 : x
2. Step 2: Convert to fraction form
   416,005/594,475.50 = 594,475.50/x
3. Step 3: Cross multiply
   416,005x = 594,475.50 × 594,475.50
4. Step 4: Simplify right side
   416,005x = 353,401,120,100.25
5. Step 5: Solve for x
   x = 353,401,120,100.25/416,005
6. Step 6: Final answer
   x = 849,511.71