Finding the Third Proportional to 91,780 and 188,500

Step by Step Solution

1. Step 1: Write the proportion equation
   91,780 : 188,500 = 188,500 : x
2. Step 2: Convert to fraction form
   91,780/188,500 = 188,500/x
3. Step 3: Cross multiply
   91,780x = 188,500 × 188,500
4. Step 4: Simplify right side
   91,780x = 35,532,250,000
5. Step 5: Solve for x
   x = 35,532,250,000/91,780
6. Step 6: Final answer
   x = 387,145.89