Finding the Third Proportional to 107,984 and 168,090

Step by Step Solution

1. Step 1: Write the proportion equation
   107,984 : 168,090 = 168,090 : x
2. Step 2: Convert to fraction form
   107,984/168,090 = 168,090/x
3. Step 3: Cross multiply
   107,984x = 168,090 × 168,090
4. Step 4: Simplify right side
   107,984x = 28,254,248,100
5. Step 5: Solve for x
   x = 28,254,248,100/107,984
6. Step 6: Final answer
   x = 261,652.17