Finding the Third Proportional to 34,868 and 82,301

Step by Step Solution

1. Step 1: Write the proportion equation
   34,868 : 82,301 = 82,301 : x
2. Step 2: Convert to fraction form
   34,868/82,301 = 82,301/x
3. Step 3: Cross multiply
   34,868x = 82,301 × 82,301
4. Step 4: Simplify right side
   34,868x = 6,773,454,601
5. Step 5: Solve for x
   x = 6,773,454,601/34,868
6. Step 6: Final answer
   x = 194,259.91