Finding the Third Proportional to 212,114 and 462,100

Step by Step Solution

1. Step 1: Write the proportion equation
   212,114 : 462,100 = 462,100 : x
2. Step 2: Convert to fraction form
   212,114/462,100 = 462,100/x
3. Step 3: Cross multiply
   212,114x = 462,100 × 462,100
4. Step 4: Simplify right side
   212,114x = 213,536,410,000
5. Step 5: Solve for x
   x = 213,536,410,000/212,114
6. Step 6: Final answer
   x = 1,006,705.88