Finding the Third Proportional to 103,671 and 146,090

Step by Step Solution

1. Step 1: Write the proportion equation
   103,671 : 146,090 = 146,090 : x
2. Step 2: Convert to fraction form
   103,671/146,090 = 146,090/x
3. Step 3: Cross multiply
   103,671x = 146,090 × 146,090
4. Step 4: Simplify right side
   103,671x = 21,342,288,100
5. Step 5: Solve for x
   x = 21,342,288,100/103,671
6. Step 6: Final answer
   x = 205,865.56