Finding the Third Proportional to 123,848 and 186,052

Step by Step Solution

1. Step 1: Write the proportion equation
   123,848 : 186,052 = 186,052 : x
2. Step 2: Convert to fraction form
   123,848/186,052 = 186,052/x
3. Step 3: Cross multiply
   123,848x = 186,052 × 186,052
4. Step 4: Simplify right side
   123,848x = 34,615,346,704
5. Step 5: Solve for x
   x = 34,615,346,704/123,848
6. Step 6: Final answer
   x = 279,498.63