Finding the Third Proportional to 152,174 and 219,196

Step by Step Solution

1. Step 1: Write the proportion equation
   152,174 : 219,196 = 219,196 : x
2. Step 2: Convert to fraction form
   152,174/219,196 = 219,196/x
3. Step 3: Cross multiply
   152,174x = 219,196 × 219,196
4. Step 4: Simplify right side
   152,174x = 48,046,886,416
5. Step 5: Solve for x
   x = 48,046,886,416/152,174
6. Step 6: Final answer
   x = 315,736.50