Finding the Third Proportional to 120,946.50 and 185,591.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,946.50 : 185,591.25 = 185,591.25 : x
2. Step 2: Convert to fraction form
   120,946.50/185,591.25 = 185,591.25/x
3. Step 3: Cross multiply
   120,946.50x = 185,591.25 × 185,591.25
4. Step 4: Simplify right side
   120,946.50x = 34,444,112,076.56
5. Step 5: Solve for x
   x = 34,444,112,076.56/120,946.50
6. Step 6: Final answer
   x = 284,788.00