Finding the Third Proportional to 83,704 and 186,032

Step by Step Solution

1. Step 1: Write the proportion equation
   83,704 : 186,032 = 186,032 : x
2. Step 2: Convert to fraction form
   83,704/186,032 = 186,032/x
3. Step 3: Cross multiply
   83,704x = 186,032 × 186,032
4. Step 4: Simplify right side
   83,704x = 34,607,905,024
5. Step 5: Solve for x
   x = 34,607,905,024/83,704
6. Step 6: Final answer
   x = 413,455.81