Finding the Third Proportional to 341,520 and 509,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,520 : 509,511.50 = 509,511.50 : x
2. Step 2: Convert to fraction form
   341,520/509,511.50 = 509,511.50/x
3. Step 3: Cross multiply
   341,520x = 509,511.50 × 509,511.50
4. Step 4: Simplify right side
   341,520x = 259,601,968,632.25
5. Step 5: Solve for x
   x = 259,601,968,632.25/341,520
6. Step 6: Final answer
   x = 760,136.94