Finding the Third Proportional to 53,969 and 114,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,969 : 114,514.50 = 114,514.50 : x
2. Step 2: Convert to fraction form
   53,969/114,514.50 = 114,514.50/x
3. Step 3: Cross multiply
   53,969x = 114,514.50 × 114,514.50
4. Step 4: Simplify right side
   53,969x = 13,113,570,710.25
5. Step 5: Solve for x
   x = 13,113,570,710.25/53,969
6. Step 6: Final answer
   x = 242,983.39