Finding the Third Proportional to 186,116.25 and 407,676

Step by Step Solution

1. Step 1: Write the proportion equation
   186,116.25 : 407,676 = 407,676 : x
2. Step 2: Convert to fraction form
   186,116.25/407,676 = 407,676/x
3. Step 3: Cross multiply
   186,116.25x = 407,676 × 407,676
4. Step 4: Simplify right side
   186,116.25x = 166,199,720,976
5. Step 5: Solve for x
   x = 166,199,720,976/186,116.25
6. Step 6: Final answer
   x = 892,988.77