Finding the Third Proportional to 73,298 and 109,897

Step by Step Solution

1. Step 1: Write the proportion equation
   73,298 : 109,897 = 109,897 : x
2. Step 2: Convert to fraction form
   73,298/109,897 = 109,897/x
3. Step 3: Cross multiply
   73,298x = 109,897 × 109,897
4. Step 4: Simplify right side
   73,298x = 12,077,350,609
5. Step 5: Solve for x
   x = 12,077,350,609/73,298
6. Step 6: Final answer
   x = 164,770.53