Finding the Third Proportional to 123,218.44 and 185,374.69

Step by Step Solution

1. Step 1: Write the proportion equation
   123,218.44 : 185,374.69 = 185,374.69 : x
2. Step 2: Convert to fraction form
   123,218.44/185,374.69 = 185,374.69/x
3. Step 3: Cross multiply
   123,218.44x = 185,374.69 × 185,374.69
4. Step 4: Simplify right side
   123,218.44x = 34,363,774,765.72
5. Step 5: Solve for x
   x = 34,363,774,765.72/123,218.44
6. Step 6: Final answer
   x = 278,885.01