Finding the Third Proportional to 69,662 and 106,123

Step by Step Solution

1. Step 1: Write the proportion equation
   69,662 : 106,123 = 106,123 : x
2. Step 2: Convert to fraction form
   69,662/106,123 = 106,123/x
3. Step 3: Cross multiply
   69,662x = 106,123 × 106,123
4. Step 4: Simplify right side
   69,662x = 11,262,091,129
5. Step 5: Solve for x
   x = 11,262,091,129/69,662
6. Step 6: Final answer
   x = 161,667.64