Finding the Third Proportional to 190,106 and 416,500

Step by Step Solution

1. Step 1: Write the proportion equation
   190,106 : 416,500 = 416,500 : x
2. Step 2: Convert to fraction form
   190,106/416,500 = 416,500/x
3. Step 3: Cross multiply
   190,106x = 416,500 × 416,500
4. Step 4: Simplify right side
   190,106x = 173,472,250,000
5. Step 5: Solve for x
   x = 173,472,250,000/190,106
6. Step 6: Final answer
   x = 912,502.76