Finding the Third Proportional to 283,054 and 412,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   283,054 : 412,912.50 = 412,912.50 : x
2. Step 2: Convert to fraction form
   283,054/412,912.50 = 412,912.50/x
3. Step 3: Cross multiply
   283,054x = 412,912.50 × 412,912.50
4. Step 4: Simplify right side
   283,054x = 170,496,732,656.25
5. Step 5: Solve for x
   x = 170,496,732,656.25/283,054
6. Step 6: Final answer
   x = 602,347.02