Finding the Third Proportional to 105,570 and 146,853

Step by Step Solution

1. Step 1: Write the proportion equation
   105,570 : 146,853 = 146,853 : x
2. Step 2: Convert to fraction form
   105,570/146,853 = 146,853/x
3. Step 3: Cross multiply
   105,570x = 146,853 × 146,853
4. Step 4: Simplify right side
   105,570x = 21,565,803,609
5. Step 5: Solve for x
   x = 21,565,803,609/105,570
6. Step 6: Final answer
   x = 204,279.66