Finding the Third Proportional to 82,031.25 and 179,492.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,031.25 : 179,492.25 = 179,492.25 : x
2. Step 2: Convert to fraction form
   82,031.25/179,492.25 = 179,492.25/x
3. Step 3: Cross multiply
   82,031.25x = 179,492.25 × 179,492.25
4. Step 4: Simplify right side
   82,031.25x = 32,217,467,810.06
5. Step 5: Solve for x
   x = 32,217,467,810.06/82,031.25
6. Step 6: Final answer
   x = 392,746.27