Finding the Third Proportional to 120,186.28 and 178,426.55

Step by Step Solution

1. Step 1: Write the proportion equation
   120,186.28 : 178,426.55 = 178,426.55 : x
2. Step 2: Convert to fraction form
   120,186.28/178,426.55 = 178,426.55/x
3. Step 3: Cross multiply
   120,186.28x = 178,426.55 × 178,426.55
4. Step 4: Simplify right side
   120,186.28x = 31,836,032,629.74
5. Step 5: Solve for x
   x = 31,836,032,629.74/120,186.28
6. Step 6: Final answer
   x = 264,889.07