Finding the Third Proportional to 187,789.50 and 405,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,789.50 : 405,085.50 = 405,085.50 : x
2. Step 2: Convert to fraction form
   187,789.50/405,085.50 = 405,085.50/x
3. Step 3: Cross multiply
   187,789.50x = 405,085.50 × 405,085.50
4. Step 4: Simplify right side
   187,789.50x = 164,094,262,310.25
5. Step 5: Solve for x
   x = 164,094,262,310.25/187,789.50
6. Step 6: Final answer
   x = 873,820.22