Finding the Third Proportional to 105,507 and 214,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,507 : 214,915.50 = 214,915.50 : x
2. Step 2: Convert to fraction form
   105,507/214,915.50 = 214,915.50/x
3. Step 3: Cross multiply
   105,507x = 214,915.50 × 214,915.50
4. Step 4: Simplify right side
   105,507x = 46,188,672,140.25
5. Step 5: Solve for x
   x = 46,188,672,140.25/105,507
6. Step 6: Final answer
   x = 437,778.27