Finding the Third Proportional to 50,465 and 106,158

Step by Step Solution

1. Step 1: Write the proportion equation
   50,465 : 106,158 = 106,158 : x
2. Step 2: Convert to fraction form
   50,465/106,158 = 106,158/x
3. Step 3: Cross multiply
   50,465x = 106,158 × 106,158
4. Step 4: Simplify right side
   50,465x = 11,269,520,964
5. Step 5: Solve for x
   x = 11,269,520,964/50,465
6. Step 6: Final answer
   x = 223,313.60