Finding the Third Proportional to 314,967 and 680,478

Step by Step Solution

1. Step 1: Write the proportion equation
   314,967 : 680,478 = 680,478 : x
2. Step 2: Convert to fraction form
   314,967/680,478 = 680,478/x
3. Step 3: Cross multiply
   314,967x = 680,478 × 680,478
4. Step 4: Simplify right side
   314,967x = 463,050,308,484
5. Step 5: Solve for x
   x = 463,050,308,484/314,967
6. Step 6: Final answer
   x = 1,470,155.00