Finding the Third Proportional to 233,329.50 and 360,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,329.50 : 360,931.50 = 360,931.50 : x
2. Step 2: Convert to fraction form
   233,329.50/360,931.50 = 360,931.50/x
3. Step 3: Cross multiply
   233,329.50x = 360,931.50 × 360,931.50
4. Step 4: Simplify right side
   233,329.50x = 130,271,547,692.25
5. Step 5: Solve for x
   x = 130,271,547,692.25/233,329.50
6. Step 6: Final answer
   x = 558,315.81