Finding the Third Proportional to 106,830 and 173,632

Step by Step Solution

1. Step 1: Write the proportion equation
   106,830 : 173,632 = 173,632 : x
2. Step 2: Convert to fraction form
   106,830/173,632 = 173,632/x
3. Step 3: Cross multiply
   106,830x = 173,632 × 173,632
4. Step 4: Simplify right side
   106,830x = 30,148,071,424
5. Step 5: Solve for x
   x = 30,148,071,424/106,830
6. Step 6: Final answer
   x = 282,206.04