Finding the Third Proportional to 83,654 and 180,380

Step by Step Solution

1. Step 1: Write the proportion equation
   83,654 : 180,380 = 180,380 : x
2. Step 2: Convert to fraction form
   83,654/180,380 = 180,380/x
3. Step 3: Cross multiply
   83,654x = 180,380 × 180,380
4. Step 4: Simplify right side
   83,654x = 32,536,944,400
5. Step 5: Solve for x
   x = 32,536,944,400/83,654
6. Step 6: Final answer
   x = 388,946.67