Finding the Third Proportional to 83,498 and 179,140

Step by Step Solution

1. Step 1: Write the proportion equation
   83,498 : 179,140 = 179,140 : x
2. Step 2: Convert to fraction form
   83,498/179,140 = 179,140/x
3. Step 3: Cross multiply
   83,498x = 179,140 × 179,140
4. Step 4: Simplify right side
   83,498x = 32,091,139,600
5. Step 5: Solve for x
   x = 32,091,139,600/83,498
6. Step 6: Final answer
   x = 384,334.23