Finding the Third Proportional to 116,014 and 254,438

Step by Step Solution

1. Step 1: Write the proportion equation
   116,014 : 254,438 = 254,438 : x
2. Step 2: Convert to fraction form
   116,014/254,438 = 254,438/x
3. Step 3: Cross multiply
   116,014x = 254,438 × 254,438
4. Step 4: Simplify right side
   116,014x = 64,738,695,844
5. Step 5: Solve for x
   x = 64,738,695,844/116,014
6. Step 6: Final answer
   x = 558,024.86