Finding the Third Proportional to 109,339.50 and 178,542

Step by Step Solution

1. Step 1: Write the proportion equation
   109,339.50 : 178,542 = 178,542 : x
2. Step 2: Convert to fraction form
   109,339.50/178,542 = 178,542/x
3. Step 3: Cross multiply
   109,339.50x = 178,542 × 178,542
4. Step 4: Simplify right side
   109,339.50x = 31,877,245,764
5. Step 5: Solve for x
   x = 31,877,245,764/109,339.50
6. Step 6: Final answer
   x = 291,543.73