Finding the Third Proportional to 120,924 and 256,254

Step by Step Solution

1. Step 1: Write the proportion equation
   120,924 : 256,254 = 256,254 : x
2. Step 2: Convert to fraction form
   120,924/256,254 = 256,254/x
3. Step 3: Cross multiply
   120,924x = 256,254 × 256,254
4. Step 4: Simplify right side
   120,924x = 65,666,112,516
5. Step 5: Solve for x
   x = 65,666,112,516/120,924
6. Step 6: Final answer
   x = 543,036.23