Finding the Third Proportional to 233,802 and 342,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,802 : 342,913.50 = 342,913.50 : x
2. Step 2: Convert to fraction form
   233,802/342,913.50 = 342,913.50/x
3. Step 3: Cross multiply
   233,802x = 342,913.50 × 342,913.50
4. Step 4: Simplify right side
   233,802x = 117,589,668,482.25
5. Step 5: Solve for x
   x = 117,589,668,482.25/233,802
6. Step 6: Final answer
   x = 502,945.52