Finding the Third Proportional to 85,584 and 123,276

Step by Step Solution

1. Step 1: Write the proportion equation
   85,584 : 123,276 = 123,276 : x
2. Step 2: Convert to fraction form
   85,584/123,276 = 123,276/x
3. Step 3: Cross multiply
   85,584x = 123,276 × 123,276
4. Step 4: Simplify right side
   85,584x = 15,196,972,176
5. Step 5: Solve for x
   x = 15,196,972,176/85,584
6. Step 6: Final answer
   x = 177,567.91