Finding the Third Proportional to 105,511 and 151,141

Step by Step Solution

1. Step 1: Write the proportion equation
   105,511 : 151,141 = 151,141 : x
2. Step 2: Convert to fraction form
   105,511/151,141 = 151,141/x
3. Step 3: Cross multiply
   105,511x = 151,141 × 151,141
4. Step 4: Simplify right side
   105,511x = 22,843,601,881
5. Step 5: Solve for x
   x = 22,843,601,881/105,511
6. Step 6: Final answer
   x = 216,504.46