Finding the Third Proportional to 420,250.50 and 566,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   420,250.50 : 566,196.75 = 566,196.75 : x
2. Step 2: Convert to fraction form
   420,250.50/566,196.75 = 566,196.75/x
3. Step 3: Cross multiply
   420,250.50x = 566,196.75 × 566,196.75
4. Step 4: Simplify right side
   420,250.50x = 320,578,759,710.56
5. Step 5: Solve for x
   x = 320,578,759,710.56/420,250.50
6. Step 6: Final answer
   x = 762,827.79