Finding the Third Proportional to 120,641 and 261,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,641 : 261,139.50 = 261,139.50 : x
2. Step 2: Convert to fraction form
   120,641/261,139.50 = 261,139.50/x
3. Step 3: Cross multiply
   120,641x = 261,139.50 × 261,139.50
4. Step 4: Simplify right side
   120,641x = 68,193,838,460.25
5. Step 5: Solve for x
   x = 68,193,838,460.25/120,641
6. Step 6: Final answer
   x = 565,262.54