Finding the Third Proportional to 83,782 and 180,688

Step by Step Solution

1. Step 1: Write the proportion equation
   83,782 : 180,688 = 180,688 : x
2. Step 2: Convert to fraction form
   83,782/180,688 = 180,688/x
3. Step 3: Cross multiply
   83,782x = 180,688 × 180,688
4. Step 4: Simplify right side
   83,782x = 32,648,153,344
5. Step 5: Solve for x
   x = 32,648,153,344/83,782
6. Step 6: Final answer
   x = 389,679.80