Finding the Third Proportional to 84,989.25 and 186,138

Step by Step Solution

1. Step 1: Write the proportion equation
   84,989.25 : 186,138 = 186,138 : x
2. Step 2: Convert to fraction form
   84,989.25/186,138 = 186,138/x
3. Step 3: Cross multiply
   84,989.25x = 186,138 × 186,138
4. Step 4: Simplify right side
   84,989.25x = 34,647,355,044
5. Step 5: Solve for x
   x = 34,647,355,044/84,989.25
6. Step 6: Final answer
   x = 407,667.50