Finding the Third Proportional to 83,582 and 174,090

Step by Step Solution

1. Step 1: Write the proportion equation
   83,582 : 174,090 = 174,090 : x
2. Step 2: Convert to fraction form
   83,582/174,090 = 174,090/x
3. Step 3: Cross multiply
   83,582x = 174,090 × 174,090
4. Step 4: Simplify right side
   83,582x = 30,307,328,100
5. Step 5: Solve for x
   x = 30,307,328,100/83,582
6. Step 6: Final answer
   x = 362,605.92