Finding the Third Proportional to 72.50 and 156.63

Step by Step Solution

1. Step 1: Write the proportion equation
   72.50 : 156.63 = 156.63 : x
2. Step 2: Convert to fraction form
   72.50/156.63 = 156.63/x
3. Step 3: Cross multiply
   72.50x = 156.63 × 156.63
4. Step 4: Simplify right side
   72.50x = 24,531.39
5. Step 5: Solve for x
   x = 24,531.39/72.50
6. Step 6: Final answer
   x = 338.36