Finding the Third Proportional to 76,670 and 156,456

Step by Step Solution

1. Step 1: Write the proportion equation
   76,670 : 156,456 = 156,456 : x
2. Step 2: Convert to fraction form
   76,670/156,456 = 156,456/x
3. Step 3: Cross multiply
   76,670x = 156,456 × 156,456
4. Step 4: Simplify right side
   76,670x = 24,478,479,936
5. Step 5: Solve for x
   x = 24,478,479,936/76,670
6. Step 6: Final answer
   x = 319,270.64