Finding the Third Proportional to 123,984 and 185,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,984 : 185,494.50 = 185,494.50 : x
2. Step 2: Convert to fraction form
   123,984/185,494.50 = 185,494.50/x
3. Step 3: Cross multiply
   123,984x = 185,494.50 × 185,494.50
4. Step 4: Simplify right side
   123,984x = 34,408,209,530.25
5. Step 5: Solve for x
   x = 34,408,209,530.25/123,984
6. Step 6: Final answer
   x = 277,521.37