Finding the Third Proportional to 213,196 and 493,606

Step by Step Solution

1. Step 1: Write the proportion equation
   213,196 : 493,606 = 493,606 : x
2. Step 2: Convert to fraction form
   213,196/493,606 = 493,606/x
3. Step 3: Cross multiply
   213,196x = 493,606 × 493,606
4. Step 4: Simplify right side
   213,196x = 243,646,883,236
5. Step 5: Solve for x
   x = 243,646,883,236/213,196
6. Step 6: Final answer
   x = 1,142,830.46