Finding the Third Proportional to 83,640 and 180,072

Step by Step Solution

1. Step 1: Write the proportion equation
   83,640 : 180,072 = 180,072 : x
2. Step 2: Convert to fraction form
   83,640/180,072 = 180,072/x
3. Step 3: Cross multiply
   83,640x = 180,072 × 180,072
4. Step 4: Simplify right side
   83,640x = 32,425,925,184
5. Step 5: Solve for x
   x = 32,425,925,184/83,640
6. Step 6: Final answer
   x = 387,684.42