Finding the Third Proportional to 213,657 and 317,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,657 : 317,191.50 = 317,191.50 : x
2. Step 2: Convert to fraction form
   213,657/317,191.50 = 317,191.50/x
3. Step 3: Cross multiply
   213,657x = 317,191.50 × 317,191.50
4. Step 4: Simplify right side
   213,657x = 100,610,447,672.25
5. Step 5: Solve for x
   x = 100,610,447,672.25/213,657
6. Step 6: Final answer
   x = 470,897.03