Finding the Third Proportional to 68,902 and 146,003

Step by Step Solution

1. Step 1: Write the proportion equation
   68,902 : 146,003 = 146,003 : x
2. Step 2: Convert to fraction form
   68,902/146,003 = 146,003/x
3. Step 3: Cross multiply
   68,902x = 146,003 × 146,003
4. Step 4: Simplify right side
   68,902x = 21,316,876,009
5. Step 5: Solve for x
   x = 21,316,876,009/68,902
6. Step 6: Final answer
   x = 309,379.64