Finding the Third Proportional to 119,714 and 178,532.75

Step by Step Solution

1. Step 1: Write the proportion equation
   119,714 : 178,532.75 = 178,532.75 : x
2. Step 2: Convert to fraction form
   119,714/178,532.75 = 178,532.75/x
3. Step 3: Cross multiply
   119,714x = 178,532.75 × 178,532.75
4. Step 4: Simplify right side
   119,714x = 31,873,942,822.56
5. Step 5: Solve for x
   x = 31,873,942,822.56/119,714
6. Step 6: Final answer
   x = 266,250.75