Finding the Third Proportional to 72,194.50 and 173,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,194.50 : 173,924.50 = 173,924.50 : x
2. Step 2: Convert to fraction form
   72,194.50/173,924.50 = 173,924.50/x
3. Step 3: Cross multiply
   72,194.50x = 173,924.50 × 173,924.50
4. Step 4: Simplify right side
   72,194.50x = 30,249,731,700.25
5. Step 5: Solve for x
   x = 30,249,731,700.25/72,194.50
6. Step 6: Final answer
   x = 419,003.27