Finding the Third Proportional to 83,173 and 180,562

Step by Step Solution

1. Step 1: Write the proportion equation
   83,173 : 180,562 = 180,562 : x
2. Step 2: Convert to fraction form
   83,173/180,562 = 180,562/x
3. Step 3: Cross multiply
   83,173x = 180,562 × 180,562
4. Step 4: Simplify right side
   83,173x = 32,602,635,844
5. Step 5: Solve for x
   x = 32,602,635,844/83,173
6. Step 6: Final answer
   x = 391,985.81