Finding the Third Proportional to 83,836 and 180,738

Step by Step Solution

1. Step 1: Write the proportion equation
   83,836 : 180,738 = 180,738 : x
2. Step 2: Convert to fraction form
   83,836/180,738 = 180,738/x
3. Step 3: Cross multiply
   83,836x = 180,738 × 180,738
4. Step 4: Simplify right side
   83,836x = 32,666,224,644
5. Step 5: Solve for x
   x = 32,666,224,644/83,836
6. Step 6: Final answer
   x = 389,644.36