Finding the Third Proportional to 140,026 and 188,655

Step by Step Solution

1. Step 1: Write the proportion equation
   140,026 : 188,655 = 188,655 : x
2. Step 2: Convert to fraction form
   140,026/188,655 = 188,655/x
3. Step 3: Cross multiply
   140,026x = 188,655 × 188,655
4. Step 4: Simplify right side
   140,026x = 35,590,709,025
5. Step 5: Solve for x
   x = 35,590,709,025/140,026
6. Step 6: Final answer
   x = 254,172.15