Finding the Third Proportional to 172,407 and 269,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,407 : 269,089.50 = 269,089.50 : x
2. Step 2: Convert to fraction form
   172,407/269,089.50 = 269,089.50/x
3. Step 3: Cross multiply
   172,407x = 269,089.50 × 269,089.50
4. Step 4: Simplify right side
   172,407x = 72,409,159,010.25
5. Step 5: Solve for x
   x = 72,409,159,010.25/172,407
6. Step 6: Final answer
   x = 419,989.67