Finding the Third Proportional to 86,640 and 186,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,640 : 186,172.50 = 186,172.50 : x
2. Step 2: Convert to fraction form
   86,640/186,172.50 = 186,172.50/x
3. Step 3: Cross multiply
   86,640x = 186,172.50 × 186,172.50
4. Step 4: Simplify right side
   86,640x = 34,660,199,756.25
5. Step 5: Solve for x
   x = 34,660,199,756.25/86,640
6. Step 6: Final answer
   x = 400,048.47