Finding the Third Proportional to 82,382 and 147,038

Step by Step Solution

1. Step 1: Write the proportion equation
   82,382 : 147,038 = 147,038 : x
2. Step 2: Convert to fraction form
   82,382/147,038 = 147,038/x
3. Step 3: Cross multiply
   82,382x = 147,038 × 147,038
4. Step 4: Simplify right side
   82,382x = 21,620,173,444
5. Step 5: Solve for x
   x = 21,620,173,444/82,382
6. Step 6: Final answer
   x = 262,438.07