Finding the Third Proportional to 95,172 and 147,564

Step by Step Solution

1. Step 1: Write the proportion equation
   95,172 : 147,564 = 147,564 : x
2. Step 2: Convert to fraction form
   95,172/147,564 = 147,564/x
3. Step 3: Cross multiply
   95,172x = 147,564 × 147,564
4. Step 4: Simplify right side
   95,172x = 21,775,134,096
5. Step 5: Solve for x
   x = 21,775,134,096/95,172
6. Step 6: Final answer
   x = 228,797.69