Finding the Third Proportional to 82,368 and 113,427

Step by Step Solution

1. Step 1: Write the proportion equation
   82,368 : 113,427 = 113,427 : x
2. Step 2: Convert to fraction form
   82,368/113,427 = 113,427/x
3. Step 3: Cross multiply
   82,368x = 113,427 × 113,427
4. Step 4: Simplify right side
   82,368x = 12,865,684,329
5. Step 5: Solve for x
   x = 12,865,684,329/82,368
6. Step 6: Final answer
   x = 156,197.61