Finding the Third Proportional to 212,002 and 297,123

Step by Step Solution

1. Step 1: Write the proportion equation
   212,002 : 297,123 = 297,123 : x
2. Step 2: Convert to fraction form
   212,002/297,123 = 297,123/x
3. Step 3: Cross multiply
   212,002x = 297,123 × 297,123
4. Step 4: Simplify right side
   212,002x = 88,282,077,129
5. Step 5: Solve for x
   x = 88,282,077,129/212,002
6. Step 6: Final answer
   x = 416,420.96