Finding the Third Proportional to 103,672 and 146,819

Step by Step Solution

1. Step 1: Write the proportion equation
   103,672 : 146,819 = 146,819 : x
2. Step 2: Convert to fraction form
   103,672/146,819 = 146,819/x
3. Step 3: Cross multiply
   103,672x = 146,819 × 146,819
4. Step 4: Simplify right side
   103,672x = 21,555,818,761
5. Step 5: Solve for x
   x = 21,555,818,761/103,672
6. Step 6: Final answer
   x = 207,923.25