Finding the Third Proportional to 103,522 and 146,514

Step by Step Solution

1. Step 1: Write the proportion equation
   103,522 : 146,514 = 146,514 : x
2. Step 2: Convert to fraction form
   103,522/146,514 = 146,514/x
3. Step 3: Cross multiply
   103,522x = 146,514 × 146,514
4. Step 4: Simplify right side
   103,522x = 21,466,352,196
5. Step 5: Solve for x
   x = 21,466,352,196/103,522
6. Step 6: Final answer
   x = 207,360.29