Finding the Third Proportional to 120,461 and 254,488

Step by Step Solution

1. Step 1: Write the proportion equation
   120,461 : 254,488 = 254,488 : x
2. Step 2: Convert to fraction form
   120,461/254,488 = 254,488/x
3. Step 3: Cross multiply
   120,461x = 254,488 × 254,488
4. Step 4: Simplify right side
   120,461x = 64,764,142,144
5. Step 5: Solve for x
   x = 64,764,142,144/120,461
6. Step 6: Final answer
   x = 537,635.77