Finding the Third Proportional to 410,148 and 642,102.75

Step by Step Solution

1. Step 1: Write the proportion equation
   410,148 : 642,102.75 = 642,102.75 : x
2. Step 2: Convert to fraction form
   410,148/642,102.75 = 642,102.75/x
3. Step 3: Cross multiply
   410,148x = 642,102.75 × 642,102.75
4. Step 4: Simplify right side
   410,148x = 412,295,941,557.56
5. Step 5: Solve for x
   x = 412,295,941,557.56/410,148
6. Step 6: Final answer
   x = 1,005,236.99