Finding the Third Proportional to 156.50 and 294.25

Step by Step Solution

1. Step 1: Write the proportion equation
   156.50 : 294.25 = 294.25 : x
2. Step 2: Convert to fraction form
   156.50/294.25 = 294.25/x
3. Step 3: Cross multiply
   156.50x = 294.25 × 294.25
4. Step 4: Simplify right side
   156.50x = 86,583.06
5. Step 5: Solve for x
   x = 86,583.06/156.50
6. Step 6: Final answer
   x = 553.25