Finding the Third Proportional to 76,700 and 116,238

Step by Step Solution

1. Step 1: Write the proportion equation
   76,700 : 116,238 = 116,238 : x
2. Step 2: Convert to fraction form
   76,700/116,238 = 116,238/x
3. Step 3: Cross multiply
   76,700x = 116,238 × 116,238
4. Step 4: Simplify right side
   76,700x = 13,511,272,644
5. Step 5: Solve for x
   x = 13,511,272,644/76,700
6. Step 6: Final answer
   x = 176,157.40