Finding the Third Proportional to 103,612.50 and 214,596

Step by Step Solution

1. Step 1: Write the proportion equation
   103,612.50 : 214,596 = 214,596 : x
2. Step 2: Convert to fraction form
   103,612.50/214,596 = 214,596/x
3. Step 3: Cross multiply
   103,612.50x = 214,596 × 214,596
4. Step 4: Simplify right side
   103,612.50x = 46,051,443,216
5. Step 5: Solve for x
   x = 46,051,443,216/103,612.50
6. Step 6: Final answer
   x = 444,458.37