Finding the Third Proportional to 233,298 and 360,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,298 : 360,256.50 = 360,256.50 : x
2. Step 2: Convert to fraction form
   233,298/360,256.50 = 360,256.50/x
3. Step 3: Cross multiply
   233,298x = 360,256.50 × 360,256.50
4. Step 4: Simplify right side
   233,298x = 129,784,745,792.25
5. Step 5: Solve for x
   x = 129,784,745,792.25/233,298
6. Step 6: Final answer
   x = 556,304.58