Finding the Third Proportional to 98,005.50 and 214,692

Step by Step Solution

1. Step 1: Write the proportion equation
   98,005.50 : 214,692 = 214,692 : x
2. Step 2: Convert to fraction form
   98,005.50/214,692 = 214,692/x
3. Step 3: Cross multiply
   98,005.50x = 214,692 × 214,692
4. Step 4: Simplify right side
   98,005.50x = 46,092,654,864
5. Step 5: Solve for x
   x = 46,092,654,864/98,005.50
6. Step 6: Final answer
   x = 470,306.82