Finding the Third Proportional to 146,320 and 214,280

Step by Step Solution

1. Step 1: Write the proportion equation
   146,320 : 214,280 = 214,280 : x
2. Step 2: Convert to fraction form
   146,320/214,280 = 214,280/x
3. Step 3: Cross multiply
   146,320x = 214,280 × 214,280
4. Step 4: Simplify right side
   146,320x = 45,915,918,400
5. Step 5: Solve for x
   x = 45,915,918,400/146,320
6. Step 6: Final answer
   x = 313,804.80