Finding the Third Proportional to 100,007 and 146,060

Step by Step Solution

1. Step 1: Write the proportion equation
   100,007 : 146,060 = 146,060 : x
2. Step 2: Convert to fraction form
   100,007/146,060 = 146,060/x
3. Step 3: Cross multiply
   100,007x = 146,060 × 146,060
4. Step 4: Simplify right side
   100,007x = 21,333,523,600
5. Step 5: Solve for x
   x = 21,333,523,600/100,007
6. Step 6: Final answer
   x = 213,320.30