Finding the Third Proportional to 82,212 and 179,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,212 : 179,641.50 = 179,641.50 : x
2. Step 2: Convert to fraction form
   82,212/179,641.50 = 179,641.50/x
3. Step 3: Cross multiply
   82,212x = 179,641.50 × 179,641.50
4. Step 4: Simplify right side
   82,212x = 32,271,068,522.25
5. Step 5: Solve for x
   x = 32,271,068,522.25/82,212
6. Step 6: Final answer
   x = 392,534.77