Finding the Third Proportional to 83,579 and 174,070

Step by Step Solution

1. Step 1: Write the proportion equation
   83,579 : 174,070 = 174,070 : x
2. Step 2: Convert to fraction form
   83,579/174,070 = 174,070/x
3. Step 3: Cross multiply
   83,579x = 174,070 × 174,070
4. Step 4: Simplify right side
   83,579x = 30,300,364,900
5. Step 5: Solve for x
   x = 30,300,364,900/83,579
6. Step 6: Final answer
   x = 362,535.62