Finding the Third Proportional to 185,768 and 279,060

Step by Step Solution

1. Step 1: Write the proportion equation
   185,768 : 279,060 = 279,060 : x
2. Step 2: Convert to fraction form
   185,768/279,060 = 279,060/x
3. Step 3: Cross multiply
   185,768x = 279,060 × 279,060
4. Step 4: Simplify right side
   185,768x = 77,874,483,600
5. Step 5: Solve for x
   x = 77,874,483,600/185,768
6. Step 6: Final answer
   x = 419,202.90