Finding the Third Proportional to 82,078 and 176,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,078 : 176,820.50 = 176,820.50 : x
2. Step 2: Convert to fraction form
   82,078/176,820.50 = 176,820.50/x
3. Step 3: Cross multiply
   82,078x = 176,820.50 × 176,820.50
4. Step 4: Simplify right side
   82,078x = 31,265,489,220.25
5. Step 5: Solve for x
   x = 31,265,489,220.25/82,078
6. Step 6: Final answer
   x = 380,924.11