Finding the Third Proportional to 212,352 and 462,164

Step by Step Solution

1. Step 1: Write the proportion equation
   212,352 : 462,164 = 462,164 : x
2. Step 2: Convert to fraction form
   212,352/462,164 = 462,164/x
3. Step 3: Cross multiply
   212,352x = 462,164 × 462,164
4. Step 4: Simplify right side
   212,352x = 213,595,562,896
5. Step 5: Solve for x
   x = 213,595,562,896/212,352
6. Step 6: Final answer
   x = 1,005,856.14