Finding the Third Proportional to 416,676 and 589,981.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,676 : 589,981.50 = 589,981.50 : x
2. Step 2: Convert to fraction form
   416,676/589,981.50 = 589,981.50/x
3. Step 3: Cross multiply
   416,676x = 589,981.50 × 589,981.50
4. Step 4: Simplify right side
   416,676x = 348,078,170,342.25
5. Step 5: Solve for x
   x = 348,078,170,342.25/416,676
6. Step 6: Final answer
   x = 835,368.90