Finding the Third Proportional to 70,142 and 151,948

Step by Step Solution

1. Step 1: Write the proportion equation
   70,142 : 151,948 = 151,948 : x
2. Step 2: Convert to fraction form
   70,142/151,948 = 151,948/x
3. Step 3: Cross multiply
   70,142x = 151,948 × 151,948
4. Step 4: Simplify right side
   70,142x = 23,088,194,704
5. Step 5: Solve for x
   x = 23,088,194,704/70,142
6. Step 6: Final answer
   x = 329,163.62