Finding the Third Proportional to 160,510 and 214,736

Step by Step Solution

1. Step 1: Write the proportion equation
   160,510 : 214,736 = 214,736 : x
2. Step 2: Convert to fraction form
   160,510/214,736 = 214,736/x
3. Step 3: Cross multiply
   160,510x = 214,736 × 214,736
4. Step 4: Simplify right side
   160,510x = 46,111,549,696
5. Step 5: Solve for x
   x = 46,111,549,696/160,510
6. Step 6: Final answer
   x = 287,281.48