Finding the Third Proportional to 254,562 and 502,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,562 : 502,699.50 = 502,699.50 : x
2. Step 2: Convert to fraction form
   254,562/502,699.50 = 502,699.50/x
3. Step 3: Cross multiply
   254,562x = 502,699.50 × 502,699.50
4. Step 4: Simplify right side
   254,562x = 252,706,787,300.25
5. Step 5: Solve for x
   x = 252,706,787,300.25/254,562
6. Step 6: Final answer
   x = 992,712.14