Finding the Third Proportional to 95,778 and 144,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,778 : 144,395.50 = 144,395.50 : x
2. Step 2: Convert to fraction form
   95,778/144,395.50 = 144,395.50/x
3. Step 3: Cross multiply
   95,778x = 144,395.50 × 144,395.50
4. Step 4: Simplify right side
   95,778x = 20,850,060,420.25
5. Step 5: Solve for x
   x = 20,850,060,420.25/95,778
6. Step 6: Final answer
   x = 217,691.54