Finding the Third Proportional to 52,627.50 and 111,827.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,627.50 : 111,827.25 = 111,827.25 : x
2. Step 2: Convert to fraction form
   52,627.50/111,827.25 = 111,827.25/x
3. Step 3: Cross multiply
   52,627.50x = 111,827.25 × 111,827.25
4. Step 4: Simplify right side
   52,627.50x = 12,505,333,842.56
5. Step 5: Solve for x
   x = 12,505,333,842.56/52,627.50
6. Step 6: Final answer
   x = 237,619.76