Finding the Third Proportional to 123,224 and 185,712

Step by Step Solution

1. Step 1: Write the proportion equation
   123,224 : 185,712 = 185,712 : x
2. Step 2: Convert to fraction form
   123,224/185,712 = 185,712/x
3. Step 3: Cross multiply
   123,224x = 185,712 × 185,712
4. Step 4: Simplify right side
   123,224x = 34,488,946,944
5. Step 5: Solve for x
   x = 34,488,946,944/123,224
6. Step 6: Final answer
   x = 279,888.23