Finding the Third Proportional to 105,738 and 140,964

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738 : 140,964 = 140,964 : x
2. Step 2: Convert to fraction form
   105,738/140,964 = 140,964/x
3. Step 3: Cross multiply
   105,738x = 140,964 × 140,964
4. Step 4: Simplify right side
   105,738x = 19,870,849,296
5. Step 5: Solve for x
   x = 19,870,849,296/105,738
6. Step 6: Final answer
   x = 187,925.34