Finding the Third Proportional to 117,412 and 256,978

Step by Step Solution

1. Step 1: Write the proportion equation
   117,412 : 256,978 = 256,978 : x
2. Step 2: Convert to fraction form
   117,412/256,978 = 256,978/x
3. Step 3: Cross multiply
   117,412x = 256,978 × 256,978
4. Step 4: Simplify right side
   117,412x = 66,037,692,484
5. Step 5: Solve for x
   x = 66,037,692,484/117,412
6. Step 6: Final answer
   x = 562,444.15