Finding the Third Proportional to 214,789.50 and 424,158

Step by Step Solution

1. Step 1: Write the proportion equation
   214,789.50 : 424,158 = 424,158 : x
2. Step 2: Convert to fraction form
   214,789.50/424,158 = 424,158/x
3. Step 3: Cross multiply
   214,789.50x = 424,158 × 424,158
4. Step 4: Simplify right side
   214,789.50x = 179,910,008,964
5. Step 5: Solve for x
   x = 179,910,008,964/214,789.50
6. Step 6: Final answer
   x = 837,610.82