Finding the Third Proportional to 334,167 and 686,044.50

Step by Step Solution

1. Step 1: Write the proportion equation
   334,167 : 686,044.50 = 686,044.50 : x
2. Step 2: Convert to fraction form
   334,167/686,044.50 = 686,044.50/x
3. Step 3: Cross multiply
   334,167x = 686,044.50 × 686,044.50
4. Step 4: Simplify right side
   334,167x = 470,657,055,980.25
5. Step 5: Solve for x
   x = 470,657,055,980.25/334,167
6. Step 6: Final answer
   x = 1,408,448.64