Finding the Third Proportional to 65,919 and 102,156

Step by Step Solution

1. Step 1: Write the proportion equation
   65,919 : 102,156 = 102,156 : x
2. Step 2: Convert to fraction form
   65,919/102,156 = 102,156/x
3. Step 3: Cross multiply
   65,919x = 102,156 × 102,156
4. Step 4: Simplify right side
   65,919x = 10,435,848,336
5. Step 5: Solve for x
   x = 10,435,848,336/65,919
6. Step 6: Final answer
   x = 158,313.21