Finding the Third Proportional to 147,781.50 and 320,259

Step by Step Solution

1. Step 1: Write the proportion equation
   147,781.50 : 320,259 = 320,259 : x
2. Step 2: Convert to fraction form
   147,781.50/320,259 = 320,259/x
3. Step 3: Cross multiply
   147,781.50x = 320,259 × 320,259
4. Step 4: Simplify right side
   147,781.50x = 102,565,827,081
5. Step 5: Solve for x
   x = 102,565,827,081/147,781.50
6. Step 6: Final answer
   x = 694,036.99