Finding the Third Proportional to 207,010 and 422,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,010 : 422,727.50 = 422,727.50 : x
2. Step 2: Convert to fraction form
   207,010/422,727.50 = 422,727.50/x
3. Step 3: Cross multiply
   207,010x = 422,727.50 × 422,727.50
4. Step 4: Simplify right side
   207,010x = 178,698,539,256.25
5. Step 5: Solve for x
   x = 178,698,539,256.25/207,010
6. Step 6: Final answer
   x = 863,236.27