Finding the Third Proportional to 510,153 and 762,563

Step by Step Solution

1. Step 1: Write the proportion equation
   510,153 : 762,563 = 762,563 : x
2. Step 2: Convert to fraction form
   510,153/762,563 = 762,563/x
3. Step 3: Cross multiply
   510,153x = 762,563 × 762,563
4. Step 4: Simplify right side
   510,153x = 581,502,328,969
5. Step 5: Solve for x
   x = 581,502,328,969/510,153
6. Step 6: Final answer
   x = 1,139,858.69