Finding the Third Proportional to 155,709 and 221,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,709 : 221,896.50 = 221,896.50 : x
2. Step 2: Convert to fraction form
   155,709/221,896.50 = 221,896.50/x
3. Step 3: Cross multiply
   155,709x = 221,896.50 × 221,896.50
4. Step 4: Simplify right side
   155,709x = 49,238,056,712.25
5. Step 5: Solve for x
   x = 49,238,056,712.25/155,709
6. Step 6: Final answer
   x = 316,218.44