Finding the Third Proportional to 583,128 and 952,196

Step by Step Solution

1. Step 1: Write the proportion equation
   583,128 : 952,196 = 952,196 : x
2. Step 2: Convert to fraction form
   583,128/952,196 = 952,196/x
3. Step 3: Cross multiply
   583,128x = 952,196 × 952,196
4. Step 4: Simplify right side
   583,128x = 906,677,222,416
5. Step 5: Solve for x
   x = 906,677,222,416/583,128
6. Step 6: Final answer
   x = 1,554,851.12