Finding the Third Proportional to 120,910.50 and 185,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,910.50 : 185,611.50 = 185,611.50 : x
2. Step 2: Convert to fraction form
   120,910.50/185,611.50 = 185,611.50/x
3. Step 3: Cross multiply
   120,910.50x = 185,611.50 × 185,611.50
4. Step 4: Simplify right side
   120,910.50x = 34,451,628,932.25
5. Step 5: Solve for x
   x = 34,451,628,932.25/120,910.50
6. Step 6: Final answer
   x = 284,934.96