Finding the Third Proportional to 83,580 and 174,072

Step by Step Solution

1. Step 1: Write the proportion equation
   83,580 : 174,072 = 174,072 : x
2. Step 2: Convert to fraction form
   83,580/174,072 = 174,072/x
3. Step 3: Cross multiply
   83,580x = 174,072 × 174,072
4. Step 4: Simplify right side
   83,580x = 30,301,061,184
5. Step 5: Solve for x
   x = 30,301,061,184/83,580
6. Step 6: Final answer
   x = 362,539.62