Finding the Third Proportional to 100,380 and 146,797

Step by Step Solution

1. Step 1: Write the proportion equation
   100,380 : 146,797 = 146,797 : x
2. Step 2: Convert to fraction form
   100,380/146,797 = 146,797/x
3. Step 3: Cross multiply
   100,380x = 146,797 × 146,797
4. Step 4: Simplify right side
   100,380x = 21,549,359,209
5. Step 5: Solve for x
   x = 21,549,359,209/100,380
6. Step 6: Final answer
   x = 214,677.82