Finding the Third Proportional to 391,185 and 585,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   391,185 : 585,319.50 = 585,319.50 : x
2. Step 2: Convert to fraction form
   391,185/585,319.50 = 585,319.50/x
3. Step 3: Cross multiply
   391,185x = 585,319.50 × 585,319.50
4. Step 4: Simplify right side
   391,185x = 342,598,917,080.25
5. Step 5: Solve for x
   x = 342,598,917,080.25/391,185
6. Step 6: Final answer
   x = 875,797.68