Finding the Third Proportional to 103,693 and 146,123

Step by Step Solution

1. Step 1: Write the proportion equation
   103,693 : 146,123 = 146,123 : x
2. Step 2: Convert to fraction form
   103,693/146,123 = 146,123/x
3. Step 3: Cross multiply
   103,693x = 146,123 × 146,123
4. Step 4: Simplify right side
   103,693x = 21,351,931,129
5. Step 5: Solve for x
   x = 21,351,931,129/103,693
6. Step 6: Final answer
   x = 205,914.87