Finding the Third Proportional to 119,780.25 and 185,435.25

Step by Step Solution

1. Step 1: Write the proportion equation
   119,780.25 : 185,435.25 = 185,435.25 : x
2. Step 2: Convert to fraction form
   119,780.25/185,435.25 = 185,435.25/x
3. Step 3: Cross multiply
   119,780.25x = 185,435.25 × 185,435.25
4. Step 4: Simplify right side
   119,780.25x = 34,386,231,942.56
5. Step 5: Solve for x
   x = 34,386,231,942.56/119,780.25
6. Step 6: Final answer
   x = 287,077.64