Finding the Third Proportional to 101,012 and 212,464

Step by Step Solution

1. Step 1: Write the proportion equation
   101,012 : 212,464 = 212,464 : x
2. Step 2: Convert to fraction form
   101,012/212,464 = 212,464/x
3. Step 3: Cross multiply
   101,012x = 212,464 × 212,464
4. Step 4: Simplify right side
   101,012x = 45,140,951,296
5. Step 5: Solve for x
   x = 45,140,951,296/101,012
6. Step 6: Final answer
   x = 446,887.02