Finding the Third Proportional to 338,432 and 505,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   338,432 : 505,946.50 = 505,946.50 : x
2. Step 2: Convert to fraction form
   338,432/505,946.50 = 505,946.50/x
3. Step 3: Cross multiply
   338,432x = 505,946.50 × 505,946.50
4. Step 4: Simplify right side
   338,432x = 255,981,860,862.25
5. Step 5: Solve for x
   x = 255,981,860,862.25/338,432
6. Step 6: Final answer
   x = 756,376.05