Finding the Third Proportional to 385,789.50 and 591,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,789.50 : 591,799.50 = 591,799.50 : x
2. Step 2: Convert to fraction form
   385,789.50/591,799.50 = 591,799.50/x
3. Step 3: Cross multiply
   385,789.50x = 591,799.50 × 591,799.50
4. Step 4: Simplify right side
   385,789.50x = 350,226,648,200.25
5. Step 5: Solve for x
   x = 350,226,648,200.25/385,789.50
6. Step 6: Final answer
   x = 907,817.99