Finding the Third Proportional to 98,116 and 215,216

Step by Step Solution

1. Step 1: Write the proportion equation
   98,116 : 215,216 = 215,216 : x
2. Step 2: Convert to fraction form
   98,116/215,216 = 215,216/x
3. Step 3: Cross multiply
   98,116x = 215,216 × 215,216
4. Step 4: Simplify right side
   98,116x = 46,317,926,656
5. Step 5: Solve for x
   x = 46,317,926,656/98,116
6. Step 6: Final answer
   x = 472,073.12