Finding the Third Proportional to 123,221 and 186,475

Step by Step Solution

1. Step 1: Write the proportion equation
   123,221 : 186,475 = 186,475 : x
2. Step 2: Convert to fraction form
   123,221/186,475 = 186,475/x
3. Step 3: Cross multiply
   123,221x = 186,475 × 186,475
4. Step 4: Simplify right side
   123,221x = 34,772,925,625
5. Step 5: Solve for x
   x = 34,772,925,625/123,221
6. Step 6: Final answer
   x = 282,199.67