Finding the Third Proportional to 116,140 and 254,412

Step by Step Solution

1. Step 1: Write the proportion equation
   116,140 : 254,412 = 254,412 : x
2. Step 2: Convert to fraction form
   116,140/254,412 = 254,412/x
3. Step 3: Cross multiply
   116,140x = 254,412 × 254,412
4. Step 4: Simplify right side
   116,140x = 64,725,465,744
5. Step 5: Solve for x
   x = 64,725,465,744/116,140
6. Step 6: Final answer
   x = 557,305.54