Finding the Third Proportional to 120,384 and 243,712

Step by Step Solution

1. Step 1: Write the proportion equation
   120,384 : 243,712 = 243,712 : x
2. Step 2: Convert to fraction form
   120,384/243,712 = 243,712/x
3. Step 3: Cross multiply
   120,384x = 243,712 × 243,712
4. Step 4: Simplify right side
   120,384x = 59,395,538,944
5. Step 5: Solve for x
   x = 59,395,538,944/120,384
6. Step 6: Final answer
   x = 493,384.00