Finding the Third Proportional to 98,698.50 and 217,074

Step by Step Solution

1. Step 1: Write the proportion equation
   98,698.50 : 217,074 = 217,074 : x
2. Step 2: Convert to fraction form
   98,698.50/217,074 = 217,074/x
3. Step 3: Cross multiply
   98,698.50x = 217,074 × 217,074
4. Step 4: Simplify right side
   98,698.50x = 47,121,121,476
5. Step 5: Solve for x
   x = 47,121,121,476/98,698.50
6. Step 6: Final answer
   x = 477,424.90