Finding the Third Proportional to 401,582.50 and 588,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,582.50 : 588,961.50 = 588,961.50 : x
2. Step 2: Convert to fraction form
   401,582.50/588,961.50 = 588,961.50/x
3. Step 3: Cross multiply
   401,582.50x = 588,961.50 × 588,961.50
4. Step 4: Simplify right side
   401,582.50x = 346,875,648,482.25
5. Step 5: Solve for x
   x = 346,875,648,482.25/401,582.50
6. Step 6: Final answer
   x = 863,771.82