Finding the Third Proportional to 45,642 and 98,074

Step by Step Solution

1. Step 1: Write the proportion equation
   45,642 : 98,074 = 98,074 : x
2. Step 2: Convert to fraction form
   45,642/98,074 = 98,074/x
3. Step 3: Cross multiply
   45,642x = 98,074 × 98,074
4. Step 4: Simplify right side
   45,642x = 9,618,509,476
5. Step 5: Solve for x
   x = 9,618,509,476/45,642
6. Step 6: Final answer
   x = 210,738.12