Finding the Third Proportional to 105,748 and 145,014

Step by Step Solution

1. Step 1: Write the proportion equation
   105,748 : 145,014 = 145,014 : x
2. Step 2: Convert to fraction form
   105,748/145,014 = 145,014/x
3. Step 3: Cross multiply
   105,748x = 145,014 × 145,014
4. Step 4: Simplify right side
   105,748x = 21,029,060,196
5. Step 5: Solve for x
   x = 21,029,060,196/105,748
6. Step 6: Final answer
   x = 198,860.12