Finding the Third Proportional to 52,535.25 and 115,272

Step by Step Solution

1. Step 1: Write the proportion equation
   52,535.25 : 115,272 = 115,272 : x
2. Step 2: Convert to fraction form
   52,535.25/115,272 = 115,272/x
3. Step 3: Cross multiply
   52,535.25x = 115,272 × 115,272
4. Step 4: Simplify right side
   52,535.25x = 13,287,633,984
5. Step 5: Solve for x
   x = 13,287,633,984/52,535.25
6. Step 6: Final answer
   x = 252,927.97