Finding the Third Proportional to 46,347 and 108,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,347 : 108,022.50 = 108,022.50 : x
2. Step 2: Convert to fraction form
   46,347/108,022.50 = 108,022.50/x
3. Step 3: Cross multiply
   46,347x = 108,022.50 × 108,022.50
4. Step 4: Simplify right side
   46,347x = 11,668,860,506.25
5. Step 5: Solve for x
   x = 11,668,860,506.25/46,347
6. Step 6: Final answer
   x = 251,771.65