Finding the Third Proportional to 462,087 and 686,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,087 : 686,353.50 = 686,353.50 : x
2. Step 2: Convert to fraction form
   462,087/686,353.50 = 686,353.50/x
3. Step 3: Cross multiply
   462,087x = 686,353.50 × 686,353.50
4. Step 4: Simplify right side
   462,087x = 471,081,126,962.25
5. Step 5: Solve for x
   x = 471,081,126,962.25/462,087
6. Step 6: Final answer
   x = 1,019,464.14