Finding the Third Proportional to 83,538 and 180,118

Step by Step Solution

1. Step 1: Write the proportion equation
   83,538 : 180,118 = 180,118 : x
2. Step 2: Convert to fraction form
   83,538/180,118 = 180,118/x
3. Step 3: Cross multiply
   83,538x = 180,118 × 180,118
4. Step 4: Simplify right side
   83,538x = 32,442,493,924
5. Step 5: Solve for x
   x = 32,442,493,924/83,538
6. Step 6: Final answer
   x = 388,356.12