Finding the Third Proportional to 82,352 and 179,763

Step by Step Solution

1. Step 1: Write the proportion equation
   82,352 : 179,763 = 179,763 : x
2. Step 2: Convert to fraction form
   82,352/179,763 = 179,763/x
3. Step 3: Cross multiply
   82,352x = 179,763 × 179,763
4. Step 4: Simplify right side
   82,352x = 32,314,736,169
5. Step 5: Solve for x
   x = 32,314,736,169/82,352
6. Step 6: Final answer
   x = 392,397.71