Finding the Third Proportional to 200,374.50 and 421,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,374.50 : 421,498.50 = 421,498.50 : x
2. Step 2: Convert to fraction form
   200,374.50/421,498.50 = 421,498.50/x
3. Step 3: Cross multiply
   200,374.50x = 421,498.50 × 421,498.50
4. Step 4: Simplify right side
   200,374.50x = 177,660,985,502.25
5. Step 5: Solve for x
   x = 177,660,985,502.25/200,374.50
6. Step 6: Final answer
   x = 886,644.69