Finding the Third Proportional to 258,192 and 391,152

Step by Step Solution

1. Step 1: Write the proportion equation
   258,192 : 391,152 = 391,152 : x
2. Step 2: Convert to fraction form
   258,192/391,152 = 391,152/x
3. Step 3: Cross multiply
   258,192x = 391,152 × 391,152
4. Step 4: Simplify right side
   258,192x = 152,999,887,104
5. Step 5: Solve for x
   x = 152,999,887,104/258,192
6. Step 6: Final answer
   x = 592,581.83