Finding the Third Proportional to 82,677 and 179,447.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,677 : 179,447.25 = 179,447.25 : x
2. Step 2: Convert to fraction form
   82,677/179,447.25 = 179,447.25/x
3. Step 3: Cross multiply
   82,677x = 179,447.25 × 179,447.25
4. Step 4: Simplify right side
   82,677x = 32,201,315,532.56
5. Step 5: Solve for x
   x = 32,201,315,532.56/82,677
6. Step 6: Final answer
   x = 389,483.36