Finding the Third Proportional to 119,680.50 and 182,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,680.50 : 182,113.50 = 182,113.50 : x
2. Step 2: Convert to fraction form
   119,680.50/182,113.50 = 182,113.50/x
3. Step 3: Cross multiply
   119,680.50x = 182,113.50 × 182,113.50
4. Step 4: Simplify right side
   119,680.50x = 33,165,326,882.25
5. Step 5: Solve for x
   x = 33,165,326,882.25/119,680.50
6. Step 6: Final answer
   x = 277,115.54