Finding the Third Proportional to 77,700 and 116,766

Step by Step Solution

1. Step 1: Write the proportion equation
   77,700 : 116,766 = 116,766 : x
2. Step 2: Convert to fraction form
   77,700/116,766 = 116,766/x
3. Step 3: Cross multiply
   77,700x = 116,766 × 116,766
4. Step 4: Simplify right side
   77,700x = 13,634,298,756
5. Step 5: Solve for x
   x = 13,634,298,756/77,700
6. Step 6: Final answer
   x = 175,473.60