Finding the Third Proportional to 119,153 and 174,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,153 : 174,719.50 = 174,719.50 : x
2. Step 2: Convert to fraction form
   119,153/174,719.50 = 174,719.50/x
3. Step 3: Cross multiply
   119,153x = 174,719.50 × 174,719.50
4. Step 4: Simplify right side
   119,153x = 30,526,903,680.25
5. Step 5: Solve for x
   x = 30,526,903,680.25/119,153
6. Step 6: Final answer
   x = 256,199.20