Finding the Third Proportional to 123,434 and 165,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,434 : 165,466.50 = 165,466.50 : x
2. Step 2: Convert to fraction form
   123,434/165,466.50 = 165,466.50/x
3. Step 3: Cross multiply
   123,434x = 165,466.50 × 165,466.50
4. Step 4: Simplify right side
   123,434x = 27,379,162,622.25
5. Step 5: Solve for x
   x = 27,379,162,622.25/123,434
6. Step 6: Final answer
   x = 221,812.16