Finding the Third Proportional to 103,070 and 146,997

Step by Step Solution

1. Step 1: Write the proportion equation
   103,070 : 146,997 = 146,997 : x
2. Step 2: Convert to fraction form
   103,070/146,997 = 146,997/x
3. Step 3: Cross multiply
   103,070x = 146,997 × 146,997
4. Step 4: Simplify right side
   103,070x = 21,608,118,009
5. Step 5: Solve for x
   x = 21,608,118,009/103,070
6. Step 6: Final answer
   x = 209,645.08