Finding the Third Proportional to 83,085 and 180,264

Step by Step Solution

1. Step 1: Write the proportion equation
   83,085 : 180,264 = 180,264 : x
2. Step 2: Convert to fraction form
   83,085/180,264 = 180,264/x
3. Step 3: Cross multiply
   83,085x = 180,264 × 180,264
4. Step 4: Simplify right side
   83,085x = 32,495,109,696
5. Step 5: Solve for x
   x = 32,495,109,696/83,085
6. Step 6: Final answer
   x = 391,106.81