Finding the Third Proportional to 172,599 and 233,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,599 : 233,194.50 = 233,194.50 : x
2. Step 2: Convert to fraction form
   172,599/233,194.50 = 233,194.50/x
3. Step 3: Cross multiply
   172,599x = 233,194.50 × 233,194.50
4. Step 4: Simplify right side
   172,599x = 54,379,674,830.25
5. Step 5: Solve for x
   x = 54,379,674,830.25/172,599
6. Step 6: Final answer
   x = 315,063.67