Finding the Third Proportional to 98,218 and 215,012

Step by Step Solution

1. Step 1: Write the proportion equation
   98,218 : 215,012 = 215,012 : x
2. Step 2: Convert to fraction form
   98,218/215,012 = 215,012/x
3. Step 3: Cross multiply
   98,218x = 215,012 × 215,012
4. Step 4: Simplify right side
   98,218x = 46,230,160,144
5. Step 5: Solve for x
   x = 46,230,160,144/98,218
6. Step 6: Final answer
   x = 470,689.28