Finding the Third Proportional to 72,185 and 173,902

Step by Step Solution

1. Step 1: Write the proportion equation
   72,185 : 173,902 = 173,902 : x
2. Step 2: Convert to fraction form
   72,185/173,902 = 173,902/x
3. Step 3: Cross multiply
   72,185x = 173,902 × 173,902
4. Step 4: Simplify right side
   72,185x = 30,241,905,604
5. Step 5: Solve for x
   x = 30,241,905,604/72,185
6. Step 6: Final answer
   x = 418,950.00