Finding the Third Proportional to 98,008 and 146,288

Step by Step Solution

1. Step 1: Write the proportion equation
   98,008 : 146,288 = 146,288 : x
2. Step 2: Convert to fraction form
   98,008/146,288 = 146,288/x
3. Step 3: Cross multiply
   98,008x = 146,288 × 146,288
4. Step 4: Simplify right side
   98,008x = 21,400,178,944
5. Step 5: Solve for x
   x = 21,400,178,944/98,008
6. Step 6: Final answer
   x = 218,351.35