Finding the Third Proportional to 233,847 and 342,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,847 : 342,022.50 = 342,022.50 : x
2. Step 2: Convert to fraction form
   233,847/342,022.50 = 342,022.50/x
3. Step 3: Cross multiply
   233,847x = 342,022.50 × 342,022.50
4. Step 4: Simplify right side
   233,847x = 116,979,390,506.25
5. Step 5: Solve for x
   x = 116,979,390,506.25/233,847
6. Step 6: Final answer
   x = 500,239.00