Finding the Third Proportional to 128,853 and 181,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,853 : 181,453.50 = 181,453.50 : x
2. Step 2: Convert to fraction form
   128,853/181,453.50 = 181,453.50/x
3. Step 3: Cross multiply
   128,853x = 181,453.50 × 181,453.50
4. Step 4: Simplify right side
   128,853x = 32,925,372,662.25
5. Step 5: Solve for x
   x = 32,925,372,662.25/128,853
6. Step 6: Final answer
   x = 255,526.63