Finding the Third Proportional to 103,687 and 146,114

Step by Step Solution

1. Step 1: Write the proportion equation
   103,687 : 146,114 = 146,114 : x
2. Step 2: Convert to fraction form
   103,687/146,114 = 146,114/x
3. Step 3: Cross multiply
   103,687x = 146,114 × 146,114
4. Step 4: Simplify right side
   103,687x = 21,349,300,996
5. Step 5: Solve for x
   x = 21,349,300,996/103,687
6. Step 6: Final answer
   x = 205,901.42