Finding the Third Proportional to 105,201 and 147,973

Step by Step Solution

1. Step 1: Write the proportion equation
   105,201 : 147,973 = 147,973 : x
2. Step 2: Convert to fraction form
   105,201/147,973 = 147,973/x
3. Step 3: Cross multiply
   105,201x = 147,973 × 147,973
4. Step 4: Simplify right side
   105,201x = 21,896,008,729
5. Step 5: Solve for x
   x = 21,896,008,729/105,201
6. Step 6: Final answer
   x = 208,134.99