Finding the Third Proportional to 123,794 and 185,964

Step by Step Solution

1. Step 1: Write the proportion equation
   123,794 : 185,964 = 185,964 : x
2. Step 2: Convert to fraction form
   123,794/185,964 = 185,964/x
3. Step 3: Cross multiply
   123,794x = 185,964 × 185,964
4. Step 4: Simplify right side
   123,794x = 34,582,609,296
5. Step 5: Solve for x
   x = 34,582,609,296/123,794
6. Step 6: Final answer
   x = 279,356.10