Finding the Third Proportional to 77,700 and 113,980

Step by Step Solution

1. Step 1: Write the proportion equation
   77,700 : 113,980 = 113,980 : x
2. Step 2: Convert to fraction form
   77,700/113,980 = 113,980/x
3. Step 3: Cross multiply
   77,700x = 113,980 × 113,980
4. Step 4: Simplify right side
   77,700x = 12,991,440,400
5. Step 5: Solve for x
   x = 12,991,440,400/77,700
6. Step 6: Final answer
   x = 167,200.01