Finding the Third Proportional to 186,117.50 and 407,678

Step by Step Solution

1. Step 1: Write the proportion equation
   186,117.50 : 407,678 = 407,678 : x
2. Step 2: Convert to fraction form
   186,117.50/407,678 = 407,678/x
3. Step 3: Cross multiply
   186,117.50x = 407,678 × 407,678
4. Step 4: Simplify right side
   186,117.50x = 166,201,351,684
5. Step 5: Solve for x
   x = 166,201,351,684/186,117.50
6. Step 6: Final answer
   x = 892,991.53