Finding the Third Proportional to 72,778 and 159,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,778 : 159,133.50 = 159,133.50 : x
2. Step 2: Convert to fraction form
   72,778/159,133.50 = 159,133.50/x
3. Step 3: Cross multiply
   72,778x = 159,133.50 × 159,133.50
4. Step 4: Simplify right side
   72,778x = 25,323,470,822.25
5. Step 5: Solve for x
   x = 25,323,470,822.25/72,778
6. Step 6: Final answer
   x = 347,955.03