Finding the Third Proportional to 261,801 and 402,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,801 : 402,997.50 = 402,997.50 : x
2. Step 2: Convert to fraction form
   261,801/402,997.50 = 402,997.50/x
3. Step 3: Cross multiply
   261,801x = 402,997.50 × 402,997.50
4. Step 4: Simplify right side
   261,801x = 162,406,985,006.25
5. Step 5: Solve for x
   x = 162,406,985,006.25/261,801
6. Step 6: Final answer
   x = 620,345.17