Finding the Third Proportional to 76,066 and 156,980

Step by Step Solution

1. Step 1: Write the proportion equation
   76,066 : 156,980 = 156,980 : x
2. Step 2: Convert to fraction form
   76,066/156,980 = 156,980/x
3. Step 3: Cross multiply
   76,066x = 156,980 × 156,980
4. Step 4: Simplify right side
   76,066x = 24,642,720,400
5. Step 5: Solve for x
   x = 24,642,720,400/76,066
6. Step 6: Final answer
   x = 323,964.98