Finding the Third Proportional to 76,969 and 162,276

Step by Step Solution

1. Step 1: Write the proportion equation
   76,969 : 162,276 = 162,276 : x
2. Step 2: Convert to fraction form
   76,969/162,276 = 162,276/x
3. Step 3: Cross multiply
   76,969x = 162,276 × 162,276
4. Step 4: Simplify right side
   76,969x = 26,333,500,176
5. Step 5: Solve for x
   x = 26,333,500,176/76,969
6. Step 6: Final answer
   x = 342,131.25