Finding the Third Proportional to 152,056 and 219,030

Step by Step Solution

1. Step 1: Write the proportion equation
   152,056 : 219,030 = 219,030 : x
2. Step 2: Convert to fraction form
   152,056/219,030 = 219,030/x
3. Step 3: Cross multiply
   152,056x = 219,030 × 219,030
4. Step 4: Simplify right side
   152,056x = 47,974,140,900
5. Step 5: Solve for x
   x = 47,974,140,900/152,056
6. Step 6: Final answer
   x = 315,503.11