Finding the Third Proportional to 71,380 and 156,884

Step by Step Solution

1. Step 1: Write the proportion equation
   71,380 : 156,884 = 156,884 : x
2. Step 2: Convert to fraction form
   71,380/156,884 = 156,884/x
3. Step 3: Cross multiply
   71,380x = 156,884 × 156,884
4. Step 4: Simplify right side
   71,380x = 24,612,589,456
5. Step 5: Solve for x
   x = 24,612,589,456/71,380
6. Step 6: Final answer
   x = 344,810.72