Finding the Third Proportional to 139,820 and 299,413

Step by Step Solution

1. Step 1: Write the proportion equation
   139,820 : 299,413 = 299,413 : x
2. Step 2: Convert to fraction form
   139,820/299,413 = 299,413/x
3. Step 3: Cross multiply
   139,820x = 299,413 × 299,413
4. Step 4: Simplify right side
   139,820x = 89,648,144,569
5. Step 5: Solve for x
   x = 89,648,144,569/139,820
6. Step 6: Final answer
   x = 641,168.25