Finding the Third Proportional to 53,756 and 106,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,756 : 106,188.50 = 106,188.50 : x
2. Step 2: Convert to fraction form
   53,756/106,188.50 = 106,188.50/x
3. Step 3: Cross multiply
   53,756x = 106,188.50 × 106,188.50
4. Step 4: Simplify right side
   53,756x = 11,275,997,532.25
5. Step 5: Solve for x
   x = 11,275,997,532.25/53,756
6. Step 6: Final answer
   x = 209,762.59