Finding the Third Proportional to 45,684 and 98,064

Step by Step Solution

1. Step 1: Write the proportion equation
   45,684 : 98,064 = 98,064 : x
2. Step 2: Convert to fraction form
   45,684/98,064 = 98,064/x
3. Step 3: Cross multiply
   45,684x = 98,064 × 98,064
4. Step 4: Simplify right side
   45,684x = 9,616,548,096
5. Step 5: Solve for x
   x = 9,616,548,096/45,684
6. Step 6: Final answer
   x = 210,501.45