Finding the Third Proportional to 116,026 and 254,468

Step by Step Solution

1. Step 1: Write the proportion equation
   116,026 : 254,468 = 254,468 : x
2. Step 2: Convert to fraction form
   116,026/254,468 = 254,468/x
3. Step 3: Cross multiply
   116,026x = 254,468 × 254,468
4. Step 4: Simplify right side
   116,026x = 64,753,963,024
5. Step 5: Solve for x
   x = 64,753,963,024/116,026
6. Step 6: Final answer
   x = 558,098.73