Finding the Third Proportional to 72,902 and 109,353

Step by Step Solution

1. Step 1: Write the proportion equation
   72,902 : 109,353 = 109,353 : x
2. Step 2: Convert to fraction form
   72,902/109,353 = 109,353/x
3. Step 3: Cross multiply
   72,902x = 109,353 × 109,353
4. Step 4: Simplify right side
   72,902x = 11,958,078,609
5. Step 5: Solve for x
   x = 11,958,078,609/72,902
6. Step 6: Final answer
   x = 164,029.50