Finding the Third Proportional to 310,321.50 and 416,196

Step by Step Solution

1. Step 1: Write the proportion equation
   310,321.50 : 416,196 = 416,196 : x
2. Step 2: Convert to fraction form
   310,321.50/416,196 = 416,196/x
3. Step 3: Cross multiply
   310,321.50x = 416,196 × 416,196
4. Step 4: Simplify right side
   310,321.50x = 173,219,110,416
5. Step 5: Solve for x
   x = 173,219,110,416/310,321.50
6. Step 6: Final answer
   x = 558,192.42