Finding the Third Proportional to 393,648 and 590,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   393,648 : 590,368.50 = 590,368.50 : x
2. Step 2: Convert to fraction form
   393,648/590,368.50 = 590,368.50/x
3. Step 3: Cross multiply
   393,648x = 590,368.50 × 590,368.50
4. Step 4: Simplify right side
   393,648x = 348,534,965,792.25
5. Step 5: Solve for x
   x = 348,534,965,792.25/393,648
6. Step 6: Final answer
   x = 885,397.53