Finding the Third Proportional to 294,369 and 466,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,369 : 466,357.50 = 466,357.50 : x
2. Step 2: Convert to fraction form
   294,369/466,357.50 = 466,357.50/x
3. Step 3: Cross multiply
   294,369x = 466,357.50 × 466,357.50
4. Step 4: Simplify right side
   294,369x = 217,489,317,806.25
5. Step 5: Solve for x
   x = 217,489,317,806.25/294,369
6. Step 6: Final answer
   x = 738,832.27