Finding the Third Proportional to 101,799 and 212,892

Step by Step Solution

1. Step 1: Write the proportion equation
   101,799 : 212,892 = 212,892 : x
2. Step 2: Convert to fraction form
   101,799/212,892 = 212,892/x
3. Step 3: Cross multiply
   101,799x = 212,892 × 212,892
4. Step 4: Simplify right side
   101,799x = 45,323,003,664
5. Step 5: Solve for x
   x = 45,323,003,664/101,799
6. Step 6: Final answer
   x = 445,220.52