Finding the Third Proportional to 385,717.50 and 578,196

Step by Step Solution

1. Step 1: Write the proportion equation
   385,717.50 : 578,196 = 578,196 : x
2. Step 2: Convert to fraction form
   385,717.50/578,196 = 578,196/x
3. Step 3: Cross multiply
   385,717.50x = 578,196 × 578,196
4. Step 4: Simplify right side
   385,717.50x = 334,310,614,416
5. Step 5: Solve for x
   x = 334,310,614,416/385,717.50
6. Step 6: Final answer
   x = 866,724.00