Finding the Third Proportional to 72,146 and 100,905

Step by Step Solution

1. Step 1: Write the proportion equation
   72,146 : 100,905 = 100,905 : x
2. Step 2: Convert to fraction form
   72,146/100,905 = 100,905/x
3. Step 3: Cross multiply
   72,146x = 100,905 × 100,905
4. Step 4: Simplify right side
   72,146x = 10,181,819,025
5. Step 5: Solve for x
   x = 10,181,819,025/72,146
6. Step 6: Final answer
   x = 141,127.98