Finding the Third Proportional to 76,584 and 114,957

Step by Step Solution

1. Step 1: Write the proportion equation
   76,584 : 114,957 = 114,957 : x
2. Step 2: Convert to fraction form
   76,584/114,957 = 114,957/x
3. Step 3: Cross multiply
   76,584x = 114,957 × 114,957
4. Step 4: Simplify right side
   76,584x = 13,215,111,849
5. Step 5: Solve for x
   x = 13,215,111,849/76,584
6. Step 6: Final answer
   x = 172,557.09