Finding the Third Proportional to 156.50 and 248.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156.50 : 248.50 = 248.50 : x
2. Step 2: Convert to fraction form
   156.50/248.50 = 248.50/x
3. Step 3: Cross multiply
   156.50x = 248.50 × 248.50
4. Step 4: Simplify right side
   156.50x = 61,752.25
5. Step 5: Solve for x
   x = 61,752.25/156.50
6. Step 6: Final answer
   x = 394.58