Finding the Third Proportional to 72,186 and 173,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,186 : 173,904.50 = 173,904.50 : x
2. Step 2: Convert to fraction form
   72,186/173,904.50 = 173,904.50/x
3. Step 3: Cross multiply
   72,186x = 173,904.50 × 173,904.50
4. Step 4: Simplify right side
   72,186x = 30,242,775,120.25
5. Step 5: Solve for x
   x = 30,242,775,120.25/72,186
6. Step 6: Final answer
   x = 418,956.24