Finding the Third Proportional to 261,786 and 420,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,786 : 420,013.50 = 420,013.50 : x
2. Step 2: Convert to fraction form
   261,786/420,013.50 = 420,013.50/x
3. Step 3: Cross multiply
   261,786x = 420,013.50 × 420,013.50
4. Step 4: Simplify right side
   261,786x = 176,411,340,182.25
5. Step 5: Solve for x
   x = 176,411,340,182.25/261,786
6. Step 6: Final answer
   x = 673,876.14