Finding the Third Proportional to 261,127.50 and 415,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,127.50 : 415,018.50 = 415,018.50 : x
2. Step 2: Convert to fraction form
   261,127.50/415,018.50 = 415,018.50/x
3. Step 3: Cross multiply
   261,127.50x = 415,018.50 × 415,018.50
4. Step 4: Simplify right side
   261,127.50x = 172,240,355,342.25
5. Step 5: Solve for x
   x = 172,240,355,342.25/261,127.50
6. Step 6: Final answer
   x = 659,602.51