Finding the Third Proportional to 83,184 and 180,382

Step by Step Solution

1. Step 1: Write the proportion equation
   83,184 : 180,382 = 180,382 : x
2. Step 2: Convert to fraction form
   83,184/180,382 = 180,382/x
3. Step 3: Cross multiply
   83,184x = 180,382 × 180,382
4. Step 4: Simplify right side
   83,184x = 32,537,665,924
5. Step 5: Solve for x
   x = 32,537,665,924/83,184
6. Step 6: Final answer
   x = 391,152.94