Finding the Third Proportional to 117,550 and 258,426

Step by Step Solution

1. Step 1: Write the proportion equation
   117,550 : 258,426 = 258,426 : x
2. Step 2: Convert to fraction form
   117,550/258,426 = 258,426/x
3. Step 3: Cross multiply
   117,550x = 258,426 × 258,426
4. Step 4: Simplify right side
   117,550x = 66,783,997,476
5. Step 5: Solve for x
   x = 66,783,997,476/117,550
6. Step 6: Final answer
   x = 568,132.69