Finding the Third Proportional to 78,829 and 119,061

Step by Step Solution

1. Step 1: Write the proportion equation
   78,829 : 119,061 = 119,061 : x
2. Step 2: Convert to fraction form
   78,829/119,061 = 119,061/x
3. Step 3: Cross multiply
   78,829x = 119,061 × 119,061
4. Step 4: Simplify right side
   78,829x = 14,175,521,721
5. Step 5: Solve for x
   x = 14,175,521,721/78,829
6. Step 6: Final answer
   x = 179,826.23