Finding the Third Proportional to 38,296 and 83,704

Step by Step Solution

1. Step 1: Write the proportion equation
   38,296 : 83,704 = 83,704 : x
2. Step 2: Convert to fraction form
   38,296/83,704 = 83,704/x
3. Step 3: Cross multiply
   38,296x = 83,704 × 83,704
4. Step 4: Simplify right side
   38,296x = 7,006,359,616
5. Step 5: Solve for x
   x = 7,006,359,616/38,296
6. Step 6: Final answer
   x = 182,952.78