Finding the Third Proportional to 45,642 and 98,025

Step by Step Solution

1. Step 1: Write the proportion equation
   45,642 : 98,025 = 98,025 : x
2. Step 2: Convert to fraction form
   45,642/98,025 = 98,025/x
3. Step 3: Cross multiply
   45,642x = 98,025 × 98,025
4. Step 4: Simplify right side
   45,642x = 9,608,900,625
5. Step 5: Solve for x
   x = 9,608,900,625/45,642
6. Step 6: Final answer
   x = 210,527.60