Finding the Third Proportional to 420,498 and 635,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   420,498 : 635,764.50 = 635,764.50 : x
2. Step 2: Convert to fraction form
   420,498/635,764.50 = 635,764.50/x
3. Step 3: Cross multiply
   420,498x = 635,764.50 × 635,764.50
4. Step 4: Simplify right side
   420,498x = 404,196,499,460.25
5. Step 5: Solve for x
   x = 404,196,499,460.25/420,498
6. Step 6: Final answer
   x = 961,232.87