Finding the Third Proportional to 116,091 and 253,323

Step by Step Solution

1. Step 1: Write the proportion equation
   116,091 : 253,323 = 253,323 : x
2. Step 2: Convert to fraction form
   116,091/253,323 = 253,323/x
3. Step 3: Cross multiply
   116,091x = 253,323 × 253,323
4. Step 4: Simplify right side
   116,091x = 64,172,542,329
5. Step 5: Solve for x
   x = 64,172,542,329/116,091
6. Step 6: Final answer
   x = 552,777.93