Finding the Third Proportional to 319,266 and 686,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,266 : 686,964.50 = 686,964.50 : x
2. Step 2: Convert to fraction form
   319,266/686,964.50 = 686,964.50/x
3. Step 3: Cross multiply
   319,266x = 686,964.50 × 686,964.50
4. Step 4: Simplify right side
   319,266x = 471,920,224,260.25
5. Step 5: Solve for x
   x = 471,920,224,260.25/319,266
6. Step 6: Final answer
   x = 1,478,141.19