Finding the Third Proportional to 53,300 and 117,332

Step by Step Solution

1. Step 1: Write the proportion equation
   53,300 : 117,332 = 117,332 : x
2. Step 2: Convert to fraction form
   53,300/117,332 = 117,332/x
3. Step 3: Cross multiply
   53,300x = 117,332 × 117,332
4. Step 4: Simplify right side
   53,300x = 13,766,798,224
5. Step 5: Solve for x
   x = 13,766,798,224/53,300
6. Step 6: Final answer
   x = 258,288.90