Finding the Third Proportional to 47,164.50 and 99,189

Step by Step Solution

1. Step 1: Write the proportion equation
   47,164.50 : 99,189 = 99,189 : x
2. Step 2: Convert to fraction form
   47,164.50/99,189 = 99,189/x
3. Step 3: Cross multiply
   47,164.50x = 99,189 × 99,189
4. Step 4: Simplify right side
   47,164.50x = 9,838,457,721
5. Step 5: Solve for x
   x = 9,838,457,721/47,164.50
6. Step 6: Final answer
   x = 208,598.79