Finding the Third Proportional to 152,056 and 219,032

Step by Step Solution

1. Step 1: Write the proportion equation
   152,056 : 219,032 = 219,032 : x
2. Step 2: Convert to fraction form
   152,056/219,032 = 219,032/x
3. Step 3: Cross multiply
   152,056x = 219,032 × 219,032
4. Step 4: Simplify right side
   152,056x = 47,975,017,024
5. Step 5: Solve for x
   x = 47,975,017,024/152,056
6. Step 6: Final answer
   x = 315,508.87