Finding the Third Proportional to 116,407 and 254,138

Step by Step Solution

1. Step 1: Write the proportion equation
   116,407 : 254,138 = 254,138 : x
2. Step 2: Convert to fraction form
   116,407/254,138 = 254,138/x
3. Step 3: Cross multiply
   116,407x = 254,138 × 254,138
4. Step 4: Simplify right side
   116,407x = 64,586,123,044
5. Step 5: Solve for x
   x = 64,586,123,044/116,407
6. Step 6: Final answer
   x = 554,830.23