Finding the Third Proportional to 83,536 and 180,114

Step by Step Solution

1. Step 1: Write the proportion equation
   83,536 : 180,114 = 180,114 : x
2. Step 2: Convert to fraction form
   83,536/180,114 = 180,114/x
3. Step 3: Cross multiply
   83,536x = 180,114 × 180,114
4. Step 4: Simplify right side
   83,536x = 32,441,052,996
5. Step 5: Solve for x
   x = 32,441,052,996/83,536
6. Step 6: Final answer
   x = 388,348.17