Finding the Third Proportional to 264,082.50 and 395,109

Step by Step Solution

1. Step 1: Write the proportion equation
   264,082.50 : 395,109 = 395,109 : x
2. Step 2: Convert to fraction form
   264,082.50/395,109 = 395,109/x
3. Step 3: Cross multiply
   264,082.50x = 395,109 × 395,109
4. Step 4: Simplify right side
   264,082.50x = 156,111,121,881
5. Step 5: Solve for x
   x = 156,111,121,881/264,082.50
6. Step 6: Final answer
   x = 591,145.27