Finding the Third Proportional to 123,984 and 185,496.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,984 : 185,496.75 = 185,496.75 : x
2. Step 2: Convert to fraction form
   123,984/185,496.75 = 185,496.75/x
3. Step 3: Cross multiply
   123,984x = 185,496.75 × 185,496.75
4. Step 4: Simplify right side
   123,984x = 34,409,044,260.56
5. Step 5: Solve for x
   x = 34,409,044,260.56/123,984
6. Step 6: Final answer
   x = 277,528.10