Finding the Third Proportional to 507,647 and 761,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   507,647 : 761,570.50 = 761,570.50 : x
2. Step 2: Convert to fraction form
   507,647/761,570.50 = 761,570.50/x
3. Step 3: Cross multiply
   507,647x = 761,570.50 × 761,570.50
4. Step 4: Simplify right side
   507,647x = 579,989,626,470.25
5. Step 5: Solve for x
   x = 579,989,626,470.25/507,647
6. Step 6: Final answer
   x = 1,142,505.77