Finding the Third Proportional to 75,511 and 105,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,511 : 105,849.50 = 105,849.50 : x
2. Step 2: Convert to fraction form
   75,511/105,849.50 = 105,849.50/x
3. Step 3: Cross multiply
   75,511x = 105,849.50 × 105,849.50
4. Step 4: Simplify right side
   75,511x = 11,204,116,650.25
5. Step 5: Solve for x
   x = 11,204,116,650.25/75,511
6. Step 6: Final answer
   x = 148,377.28