Finding the Third Proportional to 83,602 and 169,364

Step by Step Solution

1. Step 1: Write the proportion equation
   83,602 : 169,364 = 169,364 : x
2. Step 2: Convert to fraction form
   83,602/169,364 = 169,364/x
3. Step 3: Cross multiply
   83,602x = 169,364 × 169,364
4. Step 4: Simplify right side
   83,602x = 28,684,164,496
5. Step 5: Solve for x
   x = 28,684,164,496/83,602
6. Step 6: Final answer
   x = 343,103.81