Finding the Third Proportional to 262,806 and 405,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,806 : 405,877.50 = 405,877.50 : x
2. Step 2: Convert to fraction form
   262,806/405,877.50 = 405,877.50/x
3. Step 3: Cross multiply
   262,806x = 405,877.50 × 405,877.50
4. Step 4: Simplify right side
   262,806x = 164,736,545,006.25
5. Step 5: Solve for x
   x = 164,736,545,006.25/262,806
6. Step 6: Final answer
   x = 626,837.08