Finding the Third Proportional to 103,509 and 146,494

Step by Step Solution

1. Step 1: Write the proportion equation
   103,509 : 146,494 = 146,494 : x
2. Step 2: Convert to fraction form
   103,509/146,494 = 146,494/x
3. Step 3: Cross multiply
   103,509x = 146,494 × 146,494
4. Step 4: Simplify right side
   103,509x = 21,460,492,036
5. Step 5: Solve for x
   x = 21,460,492,036/103,509
6. Step 6: Final answer
   x = 207,329.72