Finding the Third Proportional to 173,962.50 and 269,361

Step by Step Solution

1. Step 1: Write the proportion equation
   173,962.50 : 269,361 = 269,361 : x
2. Step 2: Convert to fraction form
   173,962.50/269,361 = 269,361/x
3. Step 3: Cross multiply
   173,962.50x = 269,361 × 269,361
4. Step 4: Simplify right side
   173,962.50x = 72,555,348,321
5. Step 5: Solve for x
   x = 72,555,348,321/173,962.50
6. Step 6: Final answer
   x = 417,074.65