Finding the Third Proportional to 123,208 and 185,688

Step by Step Solution

1. Step 1: Write the proportion equation
   123,208 : 185,688 = 185,688 : x
2. Step 2: Convert to fraction form
   123,208/185,688 = 185,688/x
3. Step 3: Cross multiply
   123,208x = 185,688 × 185,688
4. Step 4: Simplify right side
   123,208x = 34,480,033,344
5. Step 5: Solve for x
   x = 34,480,033,344/123,208
6. Step 6: Final answer
   x = 279,852.23