Finding the Third Proportional to 45,596 and 98,005

Step by Step Solution

1. Step 1: Write the proportion equation
   45,596 : 98,005 = 98,005 : x
2. Step 2: Convert to fraction form
   45,596/98,005 = 98,005/x
3. Step 3: Cross multiply
   45,596x = 98,005 × 98,005
4. Step 4: Simplify right side
   45,596x = 9,604,980,025
5. Step 5: Solve for x
   x = 9,604,980,025/45,596
6. Step 6: Final answer
   x = 210,654.01