Finding the Third Proportional to 83,248 and 182,038

Step by Step Solution

1. Step 1: Write the proportion equation
   83,248 : 182,038 = 182,038 : x
2. Step 2: Convert to fraction form
   83,248/182,038 = 182,038/x
3. Step 3: Cross multiply
   83,248x = 182,038 × 182,038
4. Step 4: Simplify right side
   83,248x = 33,137,833,444
5. Step 5: Solve for x
   x = 33,137,833,444/83,248
6. Step 6: Final answer
   x = 398,061.62