Finding the Third Proportional to 144,282 and 314,808

Step by Step Solution

1. Step 1: Write the proportion equation
   144,282 : 314,808 = 314,808 : x
2. Step 2: Convert to fraction form
   144,282/314,808 = 314,808/x
3. Step 3: Cross multiply
   144,282x = 314,808 × 314,808
4. Step 4: Simplify right side
   144,282x = 99,104,076,864
5. Step 5: Solve for x
   x = 99,104,076,864/144,282
6. Step 6: Final answer
   x = 686,877.62