Finding the Third Proportional to 146,501 and 317,322

Step by Step Solution

1. Step 1: Write the proportion equation
   146,501 : 317,322 = 317,322 : x
2. Step 2: Convert to fraction form
   146,501/317,322 = 317,322/x
3. Step 3: Cross multiply
   146,501x = 317,322 × 317,322
4. Step 4: Simplify right side
   146,501x = 100,693,251,684
5. Step 5: Solve for x
   x = 100,693,251,684/146,501
6. Step 6: Final answer
   x = 687,321.26