Finding the Third Proportional to 83,030 and 171,969

Step by Step Solution

1. Step 1: Write the proportion equation
   83,030 : 171,969 = 171,969 : x
2. Step 2: Convert to fraction form
   83,030/171,969 = 171,969/x
3. Step 3: Cross multiply
   83,030x = 171,969 × 171,969
4. Step 4: Simplify right side
   83,030x = 29,573,336,961
5. Step 5: Solve for x
   x = 29,573,336,961/83,030
6. Step 6: Final answer
   x = 356,176.53