Finding the Third Proportional to 172,602.50 and 233,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   172,602.50 : 233,196.75 = 233,196.75 : x
2. Step 2: Convert to fraction form
   172,602.50/233,196.75 = 233,196.75/x
3. Step 3: Cross multiply
   172,602.50x = 233,196.75 × 233,196.75
4. Step 4: Simplify right side
   172,602.50x = 54,380,724,210.56
5. Step 5: Solve for x
   x = 54,380,724,210.56/172,602.50
6. Step 6: Final answer
   x = 315,063.36