Finding the Third Proportional to 213,192 and 493,596

Step by Step Solution

1. Step 1: Write the proportion equation
   213,192 : 493,596 = 493,596 : x
2. Step 2: Convert to fraction form
   213,192/493,596 = 493,596/x
3. Step 3: Cross multiply
   213,192x = 493,596 × 493,596
4. Step 4: Simplify right side
   213,192x = 243,637,011,216
5. Step 5: Solve for x
   x = 243,637,011,216/213,192
6. Step 6: Final answer
   x = 1,142,805.60