Finding the Third Proportional to 233,838 and 342,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,838 : 342,424.50 = 342,424.50 : x
2. Step 2: Convert to fraction form
   233,838/342,424.50 = 342,424.50/x
3. Step 3: Cross multiply
   233,838x = 342,424.50 × 342,424.50
4. Step 4: Simplify right side
   233,838x = 117,254,538,200.25
5. Step 5: Solve for x
   x = 117,254,538,200.25/233,838
6. Step 6: Final answer
   x = 501,434.92