Finding the Third Proportional to 162,231 and 217,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   162,231 : 217,006.50 = 217,006.50 : x
2. Step 2: Convert to fraction form
   162,231/217,006.50 = 217,006.50/x
3. Step 3: Cross multiply
   162,231x = 217,006.50 × 217,006.50
4. Step 4: Simplify right side
   162,231x = 47,091,821,042.25
5. Step 5: Solve for x
   x = 47,091,821,042.25/162,231
6. Step 6: Final answer
   x = 290,276.34