Finding the Third Proportional to 261,657 and 415,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,657 : 415,003.50 = 415,003.50 : x
2. Step 2: Convert to fraction form
   261,657/415,003.50 = 415,003.50/x
3. Step 3: Cross multiply
   261,657x = 415,003.50 × 415,003.50
4. Step 4: Simplify right side
   261,657x = 172,227,905,012.25
5. Step 5: Solve for x
   x = 172,227,905,012.25/261,657
6. Step 6: Final answer
   x = 658,220.13