Finding the Third Proportional to 100,508 and 136,499

Step by Step Solution

1. Step 1: Write the proportion equation
   100,508 : 136,499 = 136,499 : x
2. Step 2: Convert to fraction form
   100,508/136,499 = 136,499/x
3. Step 3: Cross multiply
   100,508x = 136,499 × 136,499
4. Step 4: Simplify right side
   100,508x = 18,631,977,001
5. Step 5: Solve for x
   x = 18,631,977,001/100,508
6. Step 6: Final answer
   x = 185,378.05