Finding the Third Proportional to 256,707 and 385,060.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,707 : 385,060.50 = 385,060.50 : x
2. Step 2: Convert to fraction form
   256,707/385,060.50 = 385,060.50/x
3. Step 3: Cross multiply
   256,707x = 385,060.50 × 385,060.50
4. Step 4: Simplify right side
   256,707x = 148,271,588,660.25
5. Step 5: Solve for x
   x = 148,271,588,660.25/256,707
6. Step 6: Final answer
   x = 577,590.75