Finding the Third Proportional to 45,644 and 98,078

Step by Step Solution

1. Step 1: Write the proportion equation
   45,644 : 98,078 = 98,078 : x
2. Step 2: Convert to fraction form
   45,644/98,078 = 98,078/x
3. Step 3: Cross multiply
   45,644x = 98,078 × 98,078
4. Step 4: Simplify right side
   45,644x = 9,619,294,084
5. Step 5: Solve for x
   x = 9,619,294,084/45,644
6. Step 6: Final answer
   x = 210,746.08