Finding the Third Proportional to 98,016 and 212,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,016 : 212,626.50 = 212,626.50 : x
2. Step 2: Convert to fraction form
   98,016/212,626.50 = 212,626.50/x
3. Step 3: Cross multiply
   98,016x = 212,626.50 × 212,626.50
4. Step 4: Simplify right side
   98,016x = 45,210,028,502.25
5. Step 5: Solve for x
   x = 45,210,028,502.25/98,016
6. Step 6: Final answer
   x = 461,251.52