Finding the Third Proportional to 233,857.50 and 342,038

Step by Step Solution

1. Step 1: Write the proportion equation
   233,857.50 : 342,038 = 342,038 : x
2. Step 2: Convert to fraction form
   233,857.50/342,038 = 342,038/x
3. Step 3: Cross multiply
   233,857.50x = 342,038 × 342,038
4. Step 4: Simplify right side
   233,857.50x = 116,989,993,444
5. Step 5: Solve for x
   x = 116,989,993,444/233,857.50
6. Step 6: Final answer
   x = 500,261.88