Finding the Third Proportional to 105,790 and 145,063

Step by Step Solution

1. Step 1: Write the proportion equation
   105,790 : 145,063 = 145,063 : x
2. Step 2: Convert to fraction form
   105,790/145,063 = 145,063/x
3. Step 3: Cross multiply
   105,790x = 145,063 × 145,063
4. Step 4: Simplify right side
   105,790x = 21,043,273,969
5. Step 5: Solve for x
   x = 21,043,273,969/105,790
6. Step 6: Final answer
   x = 198,915.53