Finding the Third Proportional to 214,642 and 466,190

Step by Step Solution

1. Step 1: Write the proportion equation
   214,642 : 466,190 = 466,190 : x
2. Step 2: Convert to fraction form
   214,642/466,190 = 466,190/x
3. Step 3: Cross multiply
   214,642x = 466,190 × 466,190
4. Step 4: Simplify right side
   214,642x = 217,333,116,100
5. Step 5: Solve for x
   x = 217,333,116,100/214,642
6. Step 6: Final answer
   x = 1,012,537.70