Finding the Third Proportional to 348,706 and 538,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   348,706 : 538,831.50 = 538,831.50 : x
2. Step 2: Convert to fraction form
   348,706/538,831.50 = 538,831.50/x
3. Step 3: Cross multiply
   348,706x = 538,831.50 × 538,831.50
4. Step 4: Simplify right side
   348,706x = 290,339,385,392.25
5. Step 5: Solve for x
   x = 290,339,385,392.25/348,706
6. Step 6: Final answer
   x = 832,619.41