Finding the Third Proportional to 117,282 and 256,776

Step by Step Solution

1. Step 1: Write the proportion equation
   117,282 : 256,776 = 256,776 : x
2. Step 2: Convert to fraction form
   117,282/256,776 = 256,776/x
3. Step 3: Cross multiply
   117,282x = 256,776 × 256,776
4. Step 4: Simplify right side
   117,282x = 65,933,914,176
5. Step 5: Solve for x
   x = 65,933,914,176/117,282
6. Step 6: Final answer
   x = 562,182.72