Finding the Third Proportional to 215,817 and 319,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   215,817 : 319,537.50 = 319,537.50 : x
2. Step 2: Convert to fraction form
   215,817/319,537.50 = 319,537.50/x
3. Step 3: Cross multiply
   215,817x = 319,537.50 × 319,537.50
4. Step 4: Simplify right side
   215,817x = 102,104,213,906.25
5. Step 5: Solve for x
   x = 102,104,213,906.25/215,817
6. Step 6: Final answer
   x = 473,105.52