Finding the Third Proportional to 262,776 and 401,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,776 : 401,872.50 = 401,872.50 : x
2. Step 2: Convert to fraction form
   262,776/401,872.50 = 401,872.50/x
3. Step 3: Cross multiply
   262,776x = 401,872.50 × 401,872.50
4. Step 4: Simplify right side
   262,776x = 161,501,506,256.25
5. Step 5: Solve for x
   x = 161,501,506,256.25/262,776
6. Step 6: Final answer
   x = 614,597.63