Finding the Third Proportional to 186,786 and 290,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,786 : 290,020.50 = 290,020.50 : x
2. Step 2: Convert to fraction form
   186,786/290,020.50 = 290,020.50/x
3. Step 3: Cross multiply
   186,786x = 290,020.50 × 290,020.50
4. Step 4: Simplify right side
   186,786x = 84,111,890,420.25
5. Step 5: Solve for x
   x = 84,111,890,420.25/186,786
6. Step 6: Final answer
   x = 450,311.54