Finding the Third Proportional to 172,875.50 and 233,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,875.50 : 233,048.50 = 233,048.50 : x
2. Step 2: Convert to fraction form
   172,875.50/233,048.50 = 233,048.50/x
3. Step 3: Cross multiply
   172,875.50x = 233,048.50 × 233,048.50
4. Step 4: Simplify right side
   172,875.50x = 54,311,603,352.25
5. Step 5: Solve for x
   x = 54,311,603,352.25/172,875.50
6. Step 6: Final answer
   x = 314,165.99