Finding the Third Proportional to 76,164 and 167,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,164 : 167,095.50 = 167,095.50 : x
2. Step 2: Convert to fraction form
   76,164/167,095.50 = 167,095.50/x
3. Step 3: Cross multiply
   76,164x = 167,095.50 × 167,095.50
4. Step 4: Simplify right side
   76,164x = 27,920,906,120.25
5. Step 5: Solve for x
   x = 27,920,906,120.25/76,164
6. Step 6: Final answer
   x = 366,589.28