Finding the Third Proportional to 83,094 and 180,282

Step by Step Solution

1. Step 1: Write the proportion equation
   83,094 : 180,282 = 180,282 : x
2. Step 2: Convert to fraction form
   83,094/180,282 = 180,282/x
3. Step 3: Cross multiply
   83,094x = 180,282 × 180,282
4. Step 4: Simplify right side
   83,094x = 32,501,599,524
5. Step 5: Solve for x
   x = 32,501,599,524/83,094
6. Step 6: Final answer
   x = 391,142.56