Finding the Third Proportional to 45,186 and 69,123

Step by Step Solution

1. Step 1: Write the proportion equation
   45,186 : 69,123 = 69,123 : x
2. Step 2: Convert to fraction form
   45,186/69,123 = 69,123/x
3. Step 3: Cross multiply
   45,186x = 69,123 × 69,123
4. Step 4: Simplify right side
   45,186x = 4,777,989,129
5. Step 5: Solve for x
   x = 4,777,989,129/45,186
6. Step 6: Final answer
   x = 105,740.48