Finding the Third Proportional to 415,962 and 594,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,962 : 594,391.50 = 594,391.50 : x
2. Step 2: Convert to fraction form
   415,962/594,391.50 = 594,391.50/x
3. Step 3: Cross multiply
   415,962x = 594,391.50 × 594,391.50
4. Step 4: Simplify right side
   415,962x = 353,301,255,272.25
5. Step 5: Solve for x
   x = 353,301,255,272.25/415,962
6. Step 6: Final answer
   x = 849,359.45