Finding the Third Proportional to 103,666 and 146,810

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666 : 146,810 = 146,810 : x
2. Step 2: Convert to fraction form
   103,666/146,810 = 146,810/x
3. Step 3: Cross multiply
   103,666x = 146,810 × 146,810
4. Step 4: Simplify right side
   103,666x = 21,553,176,100
5. Step 5: Solve for x
   x = 21,553,176,100/103,666
6. Step 6: Final answer
   x = 207,909.79