Finding the Third Proportional to 257,445 and 393,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   257,445 : 393,829.50 = 393,829.50 : x
2. Step 2: Convert to fraction form
   257,445/393,829.50 = 393,829.50/x
3. Step 3: Cross multiply
   257,445x = 393,829.50 × 393,829.50
4. Step 4: Simplify right side
   257,445x = 155,101,675,070.25
5. Step 5: Solve for x
   x = 155,101,675,070.25/257,445
6. Step 6: Final answer
   x = 602,465.28