Finding the Third Proportional to 99,838.50 and 217,171.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,838.50 : 217,171.50 = 217,171.50 : x
2. Step 2: Convert to fraction form
   99,838.50/217,171.50 = 217,171.50/x
3. Step 3: Cross multiply
   99,838.50x = 217,171.50 × 217,171.50
4. Step 4: Simplify right side
   99,838.50x = 47,163,460,412.25
5. Step 5: Solve for x
   x = 47,163,460,412.25/99,838.50
6. Step 6: Final answer
   x = 472,397.53