Finding the Third Proportional to 83,520 and 169,280

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520 : 169,280 = 169,280 : x
2. Step 2: Convert to fraction form
   83,520/169,280 = 169,280/x
3. Step 3: Cross multiply
   83,520x = 169,280 × 169,280
4. Step 4: Simplify right side
   83,520x = 28,655,718,400
5. Step 5: Solve for x
   x = 28,655,718,400/83,520
6. Step 6: Final answer
   x = 343,100.08