Finding the Third Proportional to 52,300 and 114,320

Step by Step Solution

1. Step 1: Write the proportion equation
   52,300 : 114,320 = 114,320 : x
2. Step 2: Convert to fraction form
   52,300/114,320 = 114,320/x
3. Step 3: Cross multiply
   52,300x = 114,320 × 114,320
4. Step 4: Simplify right side
   52,300x = 13,069,062,400
5. Step 5: Solve for x
   x = 13,069,062,400/52,300
6. Step 6: Final answer
   x = 249,886.47