Finding the Third Proportional to 317,768,906 and 684,231,061

Step by Step Solution

1. Step 1: Write the proportion equation
   317,768,906 : 684,231,061 = 684,231,061 : x
2. Step 2: Convert to fraction form
   317,768,906/684,231,061 = 684,231,061/x
3. Step 3: Cross multiply
   317,768,906x = 684,231,061 × 684,231,061
4. Step 4: Simplify right side
   317,768,906x = 468,172,144,837,185,728
5. Step 5: Solve for x
   x = 468,172,144,837,185,728/317,768,906
6. Step 6: Final answer
   x = 1,473,310,119.39