Finding the Third Proportional to 172,633 and 233,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,633 : 233,241.50 = 233,241.50 : x
2. Step 2: Convert to fraction form
   172,633/233,241.50 = 233,241.50/x
3. Step 3: Cross multiply
   172,633x = 233,241.50 × 233,241.50
4. Step 4: Simplify right side
   172,633x = 54,401,597,322.25
5. Step 5: Solve for x
   x = 54,401,597,322.25/172,633
6. Step 6: Final answer
   x = 315,128.61