Finding the Third Proportional to 139,820 and 299,322

Step by Step Solution

1. Step 1: Write the proportion equation
   139,820 : 299,322 = 299,322 : x
2. Step 2: Convert to fraction form
   139,820/299,322 = 299,322/x
3. Step 3: Cross multiply
   139,820x = 299,322 × 299,322
4. Step 4: Simplify right side
   139,820x = 89,593,659,684
5. Step 5: Solve for x
   x = 89,593,659,684/139,820
6. Step 6: Final answer
   x = 640,778.57