Finding the Third Proportional to 212,962.50 and 329,697

Step by Step Solution

1. Step 1: Write the proportion equation
   212,962.50 : 329,697 = 329,697 : x
2. Step 2: Convert to fraction form
   212,962.50/329,697 = 329,697/x
3. Step 3: Cross multiply
   212,962.50x = 329,697 × 329,697
4. Step 4: Simplify right side
   212,962.50x = 108,700,111,809
5. Step 5: Solve for x
   x = 108,700,111,809/212,962.50
6. Step 6: Final answer
   x = 510,419.03