Finding the Third Proportional to 140,516 and 300,784

Step by Step Solution

1. Step 1: Write the proportion equation
   140,516 : 300,784 = 300,784 : x
2. Step 2: Convert to fraction form
   140,516/300,784 = 300,784/x
3. Step 3: Cross multiply
   140,516x = 300,784 × 300,784
4. Step 4: Simplify right side
   140,516x = 90,471,014,656
5. Step 5: Solve for x
   x = 90,471,014,656/140,516
6. Step 6: Final answer
   x = 643,848.49