Finding the Third Proportional to 105,424 and 163,061

Step by Step Solution

1. Step 1: Write the proportion equation
   105,424 : 163,061 = 163,061 : x
2. Step 2: Convert to fraction form
   105,424/163,061 = 163,061/x
3. Step 3: Cross multiply
   105,424x = 163,061 × 163,061
4. Step 4: Simplify right side
   105,424x = 26,588,889,721
5. Step 5: Solve for x
   x = 26,588,889,721/105,424
6. Step 6: Final answer
   x = 252,209.08