Finding the Third Proportional to 45,632 and 98,077

Step by Step Solution

1. Step 1: Write the proportion equation
   45,632 : 98,077 = 98,077 : x
2. Step 2: Convert to fraction form
   45,632/98,077 = 98,077/x
3. Step 3: Cross multiply
   45,632x = 98,077 × 98,077
4. Step 4: Simplify right side
   45,632x = 9,619,097,929
5. Step 5: Solve for x
   x = 9,619,097,929/45,632
6. Step 6: Final answer
   x = 210,797.20