Finding the Third Proportional to 35,596 and 83,158

Step by Step Solution

1. Step 1: Write the proportion equation
   35,596 : 83,158 = 83,158 : x
2. Step 2: Convert to fraction form
   35,596/83,158 = 83,158/x
3. Step 3: Cross multiply
   35,596x = 83,158 × 83,158
4. Step 4: Simplify right side
   35,596x = 6,915,252,964
5. Step 5: Solve for x
   x = 6,915,252,964/35,596
6. Step 6: Final answer
   x = 194,270.51