Finding the Third Proportional to 262,492.31 and 406,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,492.31 : 406,039.50 = 406,039.50 : x
2. Step 2: Convert to fraction form
   262,492.31/406,039.50 = 406,039.50/x
3. Step 3: Cross multiply
   262,492.31x = 406,039.50 × 406,039.50
4. Step 4: Simplify right side
   262,492.31x = 164,868,075,560.25
5. Step 5: Solve for x
   x = 164,868,075,560.25/262,492.31
6. Step 6: Final answer
   x = 628,087.25