Finding the Third Proportional to 83,165.50 and 178,238

Step by Step Solution

1. Step 1: Write the proportion equation
   83,165.50 : 178,238 = 178,238 : x
2. Step 2: Convert to fraction form
   83,165.50/178,238 = 178,238/x
3. Step 3: Cross multiply
   83,165.50x = 178,238 × 178,238
4. Step 4: Simplify right side
   83,165.50x = 31,768,784,644
5. Step 5: Solve for x
   x = 31,768,784,644/83,165.50
6. Step 6: Final answer
   x = 381,994.75