Finding the Third Proportional to 82,638 and 178,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,638 : 178,393.50 = 178,393.50 : x
2. Step 2: Convert to fraction form
   82,638/178,393.50 = 178,393.50/x
3. Step 3: Cross multiply
   82,638x = 178,393.50 × 178,393.50
4. Step 4: Simplify right side
   82,638x = 31,824,240,842.25
5. Step 5: Solve for x
   x = 31,824,240,842.25/82,638
6. Step 6: Final answer
   x = 385,104.20