Finding the Third Proportional to 214,656 and 466,196

Step by Step Solution

1. Step 1: Write the proportion equation
   214,656 : 466,196 = 466,196 : x
2. Step 2: Convert to fraction form
   214,656/466,196 = 466,196/x
3. Step 3: Cross multiply
   214,656x = 466,196 × 466,196
4. Step 4: Simplify right side
   214,656x = 217,338,710,416
5. Step 5: Solve for x
   x = 217,338,710,416/214,656
6. Step 6: Final answer
   x = 1,012,497.72