Finding the Third Proportional to 234,870 and 514,032

Step by Step Solution

1. Step 1: Write the proportion equation
   234,870 : 514,032 = 514,032 : x
2. Step 2: Convert to fraction form
   234,870/514,032 = 514,032/x
3. Step 3: Cross multiply
   234,870x = 514,032 × 514,032
4. Step 4: Simplify right side
   234,870x = 264,228,897,024
5. Step 5: Solve for x
   x = 264,228,897,024/234,870
6. Step 6: Final answer
   x = 1,125,000.63