Finding the Third Proportional to 73,500 and 116,536

Step by Step Solution

1. Step 1: Write the proportion equation
   73,500 : 116,536 = 116,536 : x
2. Step 2: Convert to fraction form
   73,500/116,536 = 116,536/x
3. Step 3: Cross multiply
   73,500x = 116,536 × 116,536
4. Step 4: Simplify right side
   73,500x = 13,580,639,296
5. Step 5: Solve for x
   x = 13,580,639,296/73,500
6. Step 6: Final answer
   x = 184,770.60