Finding the Third Proportional to 83,794.50 and 182,358

Step by Step Solution

1. Step 1: Write the proportion equation
   83,794.50 : 182,358 = 182,358 : x
2. Step 2: Convert to fraction form
   83,794.50/182,358 = 182,358/x
3. Step 3: Cross multiply
   83,794.50x = 182,358 × 182,358
4. Step 4: Simplify right side
   83,794.50x = 33,254,440,164
5. Step 5: Solve for x
   x = 33,254,440,164/83,794.50
6. Step 6: Final answer
   x = 396,857.07