Finding the Third Proportional to 83,642 and 180,076

Step by Step Solution

1. Step 1: Write the proportion equation
   83,642 : 180,076 = 180,076 : x
2. Step 2: Convert to fraction form
   83,642/180,076 = 180,076/x
3. Step 3: Cross multiply
   83,642x = 180,076 × 180,076
4. Step 4: Simplify right side
   83,642x = 32,427,365,776
5. Step 5: Solve for x
   x = 32,427,365,776/83,642
6. Step 6: Final answer
   x = 387,692.38