Finding the Third Proportional to 125,028 and 178,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,028 : 178,661.50 = 178,661.50 : x
2. Step 2: Convert to fraction form
   125,028/178,661.50 = 178,661.50/x
3. Step 3: Cross multiply
   125,028x = 178,661.50 × 178,661.50
4. Step 4: Simplify right side
   125,028x = 31,919,931,582.25
5. Step 5: Solve for x
   x = 31,919,931,582.25/125,028
6. Step 6: Final answer
   x = 255,302.26