Finding the Third Proportional to 214,644 and 466,194

Step by Step Solution

1. Step 1: Write the proportion equation
   214,644 : 466,194 = 466,194 : x
2. Step 2: Convert to fraction form
   214,644/466,194 = 466,194/x
3. Step 3: Cross multiply
   214,644x = 466,194 × 466,194
4. Step 4: Simplify right side
   214,644x = 217,336,845,636
5. Step 5: Solve for x
   x = 217,336,845,636/214,644
6. Step 6: Final answer
   x = 1,012,545.64