Finding the Third Proportional to 139,920 and 299,784

Step by Step Solution

1. Step 1: Write the proportion equation
   139,920 : 299,784 = 299,784 : x
2. Step 2: Convert to fraction form
   139,920/299,784 = 299,784/x
3. Step 3: Cross multiply
   139,920x = 299,784 × 299,784
4. Step 4: Simplify right side
   139,920x = 89,870,446,656
5. Step 5: Solve for x
   x = 89,870,446,656/139,920
6. Step 6: Final answer
   x = 642,298.79