Finding the Third Proportional to 140,784 and 210,456

Step by Step Solution

1. Step 1: Write the proportion equation
   140,784 : 210,456 = 210,456 : x
2. Step 2: Convert to fraction form
   140,784/210,456 = 210,456/x
3. Step 3: Cross multiply
   140,784x = 210,456 × 210,456
4. Step 4: Simplify right side
   140,784x = 44,291,727,936
5. Step 5: Solve for x
   x = 44,291,727,936/140,784
6. Step 6: Final answer
   x = 314,607.68