Finding the Third Proportional to 98,472.50 and 214,768

Step by Step Solution

1. Step 1: Write the proportion equation
   98,472.50 : 214,768 = 214,768 : x
2. Step 2: Convert to fraction form
   98,472.50/214,768 = 214,768/x
3. Step 3: Cross multiply
   98,472.50x = 214,768 × 214,768
4. Step 4: Simplify right side
   98,472.50x = 46,125,293,824
5. Step 5: Solve for x
   x = 46,125,293,824/98,472.50
6. Step 6: Final answer
   x = 468,407.87