Finding the Third Proportional to 72,348 and 105,695

Step by Step Solution

1. Step 1: Write the proportion equation
   72,348 : 105,695 = 105,695 : x
2. Step 2: Convert to fraction form
   72,348/105,695 = 105,695/x
3. Step 3: Cross multiply
   72,348x = 105,695 × 105,695
4. Step 4: Simplify right side
   72,348x = 11,171,433,025
5. Step 5: Solve for x
   x = 11,171,433,025/72,348
6. Step 6: Final answer
   x = 154,412.47