Finding the Third Proportional to 75,030 and 116,142

Step by Step Solution

1. Step 1: Write the proportion equation
   75,030 : 116,142 = 116,142 : x
2. Step 2: Convert to fraction form
   75,030/116,142 = 116,142/x
3. Step 3: Cross multiply
   75,030x = 116,142 × 116,142
4. Step 4: Simplify right side
   75,030x = 13,488,964,164
5. Step 5: Solve for x
   x = 13,488,964,164/75,030
6. Step 6: Final answer
   x = 179,780.94