Finding the Third Proportional to 207,384 and 423,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   207,384 : 423,514.50 = 423,514.50 : x
2. Step 2: Convert to fraction form
   207,384/423,514.50 = 423,514.50/x
3. Step 3: Cross multiply
   207,384x = 423,514.50 × 423,514.50
4. Step 4: Simplify right side
   207,384x = 179,364,531,710.25
5. Step 5: Solve for x
   x = 179,364,531,710.25/207,384
6. Step 6: Final answer
   x = 864,890.89