Finding the Third Proportional to 116,822 and 156,980

Step by Step Solution

1. Step 1: Write the proportion equation
   116,822 : 156,980 = 156,980 : x
2. Step 2: Convert to fraction form
   116,822/156,980 = 156,980/x
3. Step 3: Cross multiply
   116,822x = 156,980 × 156,980
4. Step 4: Simplify right side
   116,822x = 24,642,720,400
5. Step 5: Solve for x
   x = 24,642,720,400/116,822
6. Step 6: Final answer
   x = 210,942.46