Finding the Third Proportional to 119,717 and 178,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,717 : 178,536.50 = 178,536.50 : x
2. Step 2: Convert to fraction form
   119,717/178,536.50 = 178,536.50/x
3. Step 3: Cross multiply
   119,717x = 178,536.50 × 178,536.50
4. Step 4: Simplify right side
   119,717x = 31,875,281,832.25
5. Step 5: Solve for x
   x = 31,875,281,832.25/119,717
6. Step 6: Final answer
   x = 266,255.27