Finding the Third Proportional to 172,641 and 369,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,641 : 369,262.50 = 369,262.50 : x
2. Step 2: Convert to fraction form
   172,641/369,262.50 = 369,262.50/x
3. Step 3: Cross multiply
   172,641x = 369,262.50 × 369,262.50
4. Step 4: Simplify right side
   172,641x = 136,354,793,906.25
5. Step 5: Solve for x
   x = 136,354,793,906.25/172,641
6. Step 6: Final answer
   x = 789,816.98