Finding the Third Proportional to 261,705 and 415,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,705 : 415,084.50 = 415,084.50 : x
2. Step 2: Convert to fraction form
   261,705/415,084.50 = 415,084.50/x
3. Step 3: Cross multiply
   261,705x = 415,084.50 × 415,084.50
4. Step 4: Simplify right side
   261,705x = 172,295,142,140.25
5. Step 5: Solve for x
   x = 172,295,142,140.25/261,705
6. Step 6: Final answer
   x = 658,356.33