Finding the Third Proportional to 82,788 and 179,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,788 : 179,977.50 = 179,977.50 : x
2. Step 2: Convert to fraction form
   82,788/179,977.50 = 179,977.50/x
3. Step 3: Cross multiply
   82,788x = 179,977.50 × 179,977.50
4. Step 4: Simplify right side
   82,788x = 32,391,900,506.25
5. Step 5: Solve for x
   x = 32,391,900,506.25/82,788
6. Step 6: Final answer
   x = 391,263.23