Finding the Third Proportional to 233,424 and 360,499

Step by Step Solution

1. Step 1: Write the proportion equation
   233,424 : 360,499 = 360,499 : x
2. Step 2: Convert to fraction form
   233,424/360,499 = 360,499/x
3. Step 3: Cross multiply
   233,424x = 360,499 × 360,499
4. Step 4: Simplify right side
   233,424x = 129,959,529,001
5. Step 5: Solve for x
   x = 129,959,529,001/233,424
6. Step 6: Final answer
   x = 556,753.07