Finding the Third Proportional to 97,802 and 142,090

Step by Step Solution

1. Step 1: Write the proportion equation
   97,802 : 142,090 = 142,090 : x
2. Step 2: Convert to fraction form
   97,802/142,090 = 142,090/x
3. Step 3: Cross multiply
   97,802x = 142,090 × 142,090
4. Step 4: Simplify right side
   97,802x = 20,189,568,100
5. Step 5: Solve for x
   x = 20,189,568,100/97,802
6. Step 6: Final answer
   x = 206,433.08