Finding the Third Proportional to 75,870 and 109,293

Step by Step Solution

1. Step 1: Write the proportion equation
   75,870 : 109,293 = 109,293 : x
2. Step 2: Convert to fraction form
   75,870/109,293 = 109,293/x
3. Step 3: Cross multiply
   75,870x = 109,293 × 109,293
4. Step 4: Simplify right side
   75,870x = 11,944,959,849
5. Step 5: Solve for x
   x = 11,944,959,849/75,870
6. Step 6: Final answer
   x = 157,439.83