Finding the Third Proportional to 106,441 and 147,997

Step by Step Solution

1. Step 1: Write the proportion equation
   106,441 : 147,997 = 147,997 : x
2. Step 2: Convert to fraction form
   106,441/147,997 = 147,997/x
3. Step 3: Cross multiply
   106,441x = 147,997 × 147,997
4. Step 4: Simplify right side
   106,441x = 21,903,112,009
5. Step 5: Solve for x
   x = 21,903,112,009/106,441
6. Step 6: Final answer
   x = 205,777.02