Finding the Third Proportional to 231,666 and 507,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,666 : 507,619.50 = 507,619.50 : x
2. Step 2: Convert to fraction form
   231,666/507,619.50 = 507,619.50/x
3. Step 3: Cross multiply
   231,666x = 507,619.50 × 507,619.50
4. Step 4: Simplify right side
   231,666x = 257,677,556,780.25
5. Step 5: Solve for x
   x = 257,677,556,780.25/231,666
6. Step 6: Final answer
   x = 1,112,280.42