Finding the Third Proportional to 52,947 and 116,424

Step by Step Solution

1. Step 1: Write the proportion equation
   52,947 : 116,424 = 116,424 : x
2. Step 2: Convert to fraction form
   52,947/116,424 = 116,424/x
3. Step 3: Cross multiply
   52,947x = 116,424 × 116,424
4. Step 4: Simplify right side
   52,947x = 13,554,547,776
5. Step 5: Solve for x
   x = 13,554,547,776/52,947
6. Step 6: Final answer
   x = 256,002.19