Finding the Third Proportional to 261,795 and 402,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,795 : 402,628.50 = 402,628.50 : x
2. Step 2: Convert to fraction form
   261,795/402,628.50 = 402,628.50/x
3. Step 3: Cross multiply
   261,795x = 402,628.50 × 402,628.50
4. Step 4: Simplify right side
   261,795x = 162,109,709,012.25
5. Step 5: Solve for x
   x = 162,109,709,012.25/261,795
6. Step 6: Final answer
   x = 619,223.85