Finding the Third Proportional to 234,144 and 493,074

Step by Step Solution

1. Step 1: Write the proportion equation
   234,144 : 493,074 = 493,074 : x
2. Step 2: Convert to fraction form
   234,144/493,074 = 493,074/x
3. Step 3: Cross multiply
   234,144x = 493,074 × 493,074
4. Step 4: Simplify right side
   234,144x = 243,121,969,476
5. Step 5: Solve for x
   x = 243,121,969,476/234,144
6. Step 6: Final answer
   x = 1,038,343.79