Finding the Third Proportional to 385,786 and 573,090.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,786 : 573,090.50 = 573,090.50 : x
2. Step 2: Convert to fraction form
   385,786/573,090.50 = 573,090.50/x
3. Step 3: Cross multiply
   385,786x = 573,090.50 × 573,090.50
4. Step 4: Simplify right side
   385,786x = 328,432,721,190.25
5. Step 5: Solve for x
   x = 328,432,721,190.25/385,786
6. Step 6: Final answer
   x = 851,333.96