Finding the Third Proportional to 83,773 and 180,667

Step by Step Solution

1. Step 1: Write the proportion equation
   83,773 : 180,667 = 180,667 : x
2. Step 2: Convert to fraction form
   83,773/180,667 = 180,667/x
3. Step 3: Cross multiply
   83,773x = 180,667 × 180,667
4. Step 4: Simplify right side
   83,773x = 32,640,564,889
5. Step 5: Solve for x
   x = 32,640,564,889/83,773
6. Step 6: Final answer
   x = 389,631.09