Finding the Third Proportional to 233,323.50 and 342,330

Step by Step Solution

1. Step 1: Write the proportion equation
   233,323.50 : 342,330 = 342,330 : x
2. Step 2: Convert to fraction form
   233,323.50/342,330 = 342,330/x
3. Step 3: Cross multiply
   233,323.50x = 342,330 × 342,330
4. Step 4: Simplify right side
   233,323.50x = 117,189,828,900
5. Step 5: Solve for x
   x = 117,189,828,900/233,323.50
6. Step 6: Final answer
   x = 502,263.29