Finding the Third Proportional to 120,196 and 174,090

Step by Step Solution

1. Step 1: Write the proportion equation
   120,196 : 174,090 = 174,090 : x
2. Step 2: Convert to fraction form
   120,196/174,090 = 174,090/x
3. Step 3: Cross multiply
   120,196x = 174,090 × 174,090
4. Step 4: Simplify right side
   120,196x = 30,307,328,100
5. Step 5: Solve for x
   x = 30,307,328,100/120,196
6. Step 6: Final answer
   x = 252,149.22