Finding the Third Proportional to 208,954 and 313,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,954 : 313,427.50 = 313,427.50 : x
2. Step 2: Convert to fraction form
   208,954/313,427.50 = 313,427.50/x
3. Step 3: Cross multiply
   208,954x = 313,427.50 × 313,427.50
4. Step 4: Simplify right side
   208,954x = 98,236,797,756.25
5. Step 5: Solve for x
   x = 98,236,797,756.25/208,954
6. Step 6: Final answer
   x = 470,136.00