Finding the Third Proportional to 505,563 and 761,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   505,563 : 761,548.50 = 761,548.50 : x
2. Step 2: Convert to fraction form
   505,563/761,548.50 = 761,548.50/x
3. Step 3: Cross multiply
   505,563x = 761,548.50 × 761,548.50
4. Step 4: Simplify right side
   505,563x = 579,956,117,852.25
5. Step 5: Solve for x
   x = 579,956,117,852.25/505,563
6. Step 6: Final answer
   x = 1,147,149.06