Finding the Third Proportional to 83,700 and 186,024

Step by Step Solution

1. Step 1: Write the proportion equation
   83,700 : 186,024 = 186,024 : x
2. Step 2: Convert to fraction form
   83,700/186,024 = 186,024/x
3. Step 3: Cross multiply
   83,700x = 186,024 × 186,024
4. Step 4: Simplify right side
   83,700x = 34,604,928,576
5. Step 5: Solve for x
   x = 34,604,928,576/83,700
6. Step 6: Final answer
   x = 413,440.01