Finding the Third Proportional to 341,613 and 509,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,613 : 509,659.50 = 509,659.50 : x
2. Step 2: Convert to fraction form
   341,613/509,659.50 = 509,659.50/x
3. Step 3: Cross multiply
   341,613x = 509,659.50 × 509,659.50
4. Step 4: Simplify right side
   341,613x = 259,752,805,940.25
5. Step 5: Solve for x
   x = 259,752,805,940.25/341,613
6. Step 6: Final answer
   x = 760,371.55