Finding the Third Proportional to 262,710 and 416,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,710 : 416,056.50 = 416,056.50 : x
2. Step 2: Convert to fraction form
   262,710/416,056.50 = 416,056.50/x
3. Step 3: Cross multiply
   262,710x = 416,056.50 × 416,056.50
4. Step 4: Simplify right side
   262,710x = 173,103,011,192.25
5. Step 5: Solve for x
   x = 173,103,011,192.25/262,710
6. Step 6: Final answer
   x = 658,912.91