Finding the Third Proportional to 100,316 and 146,910

Step by Step Solution

1. Step 1: Write the proportion equation
   100,316 : 146,910 = 146,910 : x
2. Step 2: Convert to fraction form
   100,316/146,910 = 146,910/x
3. Step 3: Cross multiply
   100,316x = 146,910 × 146,910
4. Step 4: Simplify right side
   100,316x = 21,582,548,100
5. Step 5: Solve for x
   x = 21,582,548,100/100,316
6. Step 6: Final answer
   x = 215,145.62