Finding the Third Proportional to 100,253 and 140,155

Step by Step Solution

1. Step 1: Write the proportion equation
   100,253 : 140,155 = 140,155 : x
2. Step 2: Convert to fraction form
   100,253/140,155 = 140,155/x
3. Step 3: Cross multiply
   100,253x = 140,155 × 140,155
4. Step 4: Simplify right side
   100,253x = 19,643,424,025
5. Step 5: Solve for x
   x = 19,643,424,025/100,253
6. Step 6: Final answer
   x = 195,938.52