Finding the Third Proportional to 101,002 and 212,938

Step by Step Solution

1. Step 1: Write the proportion equation
   101,002 : 212,938 = 212,938 : x
2. Step 2: Convert to fraction form
   101,002/212,938 = 212,938/x
3. Step 3: Cross multiply
   101,002x = 212,938 × 212,938
4. Step 4: Simplify right side
   101,002x = 45,342,591,844
5. Step 5: Solve for x
   x = 45,342,591,844/101,002
6. Step 6: Final answer
   x = 448,927.66