Finding the Third Proportional to 75,030 and 164,002

Step by Step Solution

1. Step 1: Write the proportion equation
   75,030 : 164,002 = 164,002 : x
2. Step 2: Convert to fraction form
   75,030/164,002 = 164,002/x
3. Step 3: Cross multiply
   75,030x = 164,002 × 164,002
4. Step 4: Simplify right side
   75,030x = 26,896,656,004
5. Step 5: Solve for x
   x = 26,896,656,004/75,030
6. Step 6: Final answer
   x = 358,478.69