Finding the Third Proportional to 120,417.75 and 185,155.88

Step by Step Solution

1. Step 1: Write the proportion equation
   120,417.75 : 185,155.88 = 185,155.88 : x
2. Step 2: Convert to fraction form
   120,417.75/185,155.88 = 185,155.88/x
3. Step 3: Cross multiply
   120,417.75x = 185,155.88 × 185,155.88
4. Step 4: Simplify right side
   120,417.75x = 34,282,698,047.02
5. Step 5: Solve for x
   x = 34,282,698,047.02/120,417.75
6. Step 6: Final answer
   x = 284,698.05