Finding the Third Proportional to 45,970 and 96,030

Step by Step Solution

1. Step 1: Write the proportion equation
   45,970 : 96,030 = 96,030 : x
2. Step 2: Convert to fraction form
   45,970/96,030 = 96,030/x
3. Step 3: Cross multiply
   45,970x = 96,030 × 96,030
4. Step 4: Simplify right side
   45,970x = 9,221,760,900
5. Step 5: Solve for x
   x = 9,221,760,900/45,970
6. Step 6: Final answer
   x = 200,603.89