Finding the Third Proportional to 53,656.50 and 105,962.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,656.50 : 105,962.25 = 105,962.25 : x
2. Step 2: Convert to fraction form
   53,656.50/105,962.25 = 105,962.25/x
3. Step 3: Cross multiply
   53,656.50x = 105,962.25 × 105,962.25
4. Step 4: Simplify right side
   53,656.50x = 11,227,998,425.06
5. Step 5: Solve for x
   x = 11,227,998,425.06/53,656.50
6. Step 6: Final answer
   x = 209,257.00