Finding the Third Proportional to 173,782.50 and 268,653

Step by Step Solution

1. Step 1: Write the proportion equation
   173,782.50 : 268,653 = 268,653 : x
2. Step 2: Convert to fraction form
   173,782.50/268,653 = 268,653/x
3. Step 3: Cross multiply
   173,782.50x = 268,653 × 268,653
4. Step 4: Simplify right side
   173,782.50x = 72,174,434,409
5. Step 5: Solve for x
   x = 72,174,434,409/173,782.50
6. Step 6: Final answer
   x = 415,314.74