Finding the Third Proportional to 83,440.13 and 178,946.72

Step by Step Solution

1. Step 1: Write the proportion equation
   83,440.13 : 178,946.72 = 178,946.72 : x
2. Step 2: Convert to fraction form
   83,440.13/178,946.72 = 178,946.72/x
3. Step 3: Cross multiply
   83,440.13x = 178,946.72 × 178,946.72
4. Step 4: Simplify right side
   83,440.13x = 32,021,928,151.39
5. Step 5: Solve for x
   x = 32,021,928,151.39/83,440.13
6. Step 6: Final answer
   x = 383,771.33