Finding the Third Proportional to 52,875 and 114,462

Step by Step Solution

1. Step 1: Write the proportion equation
   52,875 : 114,462 = 114,462 : x
2. Step 2: Convert to fraction form
   52,875/114,462 = 114,462/x
3. Step 3: Cross multiply
   52,875x = 114,462 × 114,462
4. Step 4: Simplify right side
   52,875x = 13,101,549,444
5. Step 5: Solve for x
   x = 13,101,549,444/52,875
6. Step 6: Final answer
   x = 247,783.44