Finding the Third Proportional to 83,736 and 180,590

Step by Step Solution

1. Step 1: Write the proportion equation
   83,736 : 180,590 = 180,590 : x
2. Step 2: Convert to fraction form
   83,736/180,590 = 180,590/x
3. Step 3: Cross multiply
   83,736x = 180,590 × 180,590
4. Step 4: Simplify right side
   83,736x = 32,612,748,100
5. Step 5: Solve for x
   x = 32,612,748,100/83,736
6. Step 6: Final answer
   x = 389,471.05