Finding the Third Proportional to 123,578 and 164,832

Step by Step Solution

1. Step 1: Write the proportion equation
   123,578 : 164,832 = 164,832 : x
2. Step 2: Convert to fraction form
   123,578/164,832 = 164,832/x
3. Step 3: Cross multiply
   123,578x = 164,832 × 164,832
4. Step 4: Simplify right side
   123,578x = 27,169,588,224
5. Step 5: Solve for x
   x = 27,169,588,224/123,578
6. Step 6: Final answer
   x = 219,857.81