Finding the Third Proportional to 72,164 and 156,490

Step by Step Solution

1. Step 1: Write the proportion equation
   72,164 : 156,490 = 156,490 : x
2. Step 2: Convert to fraction form
   72,164/156,490 = 156,490/x
3. Step 3: Cross multiply
   72,164x = 156,490 × 156,490
4. Step 4: Simplify right side
   72,164x = 24,489,120,100
5. Step 5: Solve for x
   x = 24,489,120,100/72,164
6. Step 6: Final answer
   x = 339,353.70