Finding the Third Proportional to 128,592.56 and 182,629.69

Step by Step Solution

1. Step 1: Write the proportion equation
   128,592.56 : 182,629.69 = 182,629.69 : x
2. Step 2: Convert to fraction form
   128,592.56/182,629.69 = 182,629.69/x
3. Step 3: Cross multiply
   128,592.56x = 182,629.69 × 182,629.69
4. Step 4: Simplify right side
   128,592.56x = 33,353,602,756.35
5. Step 5: Solve for x
   x = 33,353,602,756.35/128,592.56
6. Step 6: Final answer
   x = 259,374.28