Finding the Third Proportional to 119,719.50 and 178,539

Step by Step Solution

1. Step 1: Write the proportion equation
   119,719.50 : 178,539 = 178,539 : x
2. Step 2: Convert to fraction form
   119,719.50/178,539 = 178,539/x
3. Step 3: Cross multiply
   119,719.50x = 178,539 × 178,539
4. Step 4: Simplify right side
   119,719.50x = 31,876,174,521
5. Step 5: Solve for x
   x = 31,876,174,521/119,719.50
6. Step 6: Final answer
   x = 266,257.16