Finding the Third Proportional to 83,167 and 180,550

Step by Step Solution

1. Step 1: Write the proportion equation
   83,167 : 180,550 = 180,550 : x
2. Step 2: Convert to fraction form
   83,167/180,550 = 180,550/x
3. Step 3: Cross multiply
   83,167x = 180,550 × 180,550
4. Step 4: Simplify right side
   83,167x = 32,598,302,500
5. Step 5: Solve for x
   x = 32,598,302,500/83,167
6. Step 6: Final answer
   x = 391,961.99