Finding the Third Proportional to 147,852 and 335,184.75

Step by Step Solution

1. Step 1: Write the proportion equation
   147,852 : 335,184.75 = 335,184.75 : x
2. Step 2: Convert to fraction form
   147,852/335,184.75 = 335,184.75/x
3. Step 3: Cross multiply
   147,852x = 335,184.75 × 335,184.75
4. Step 4: Simplify right side
   147,852x = 112,348,816,632.56
5. Step 5: Solve for x
   x = 112,348,816,632.56/147,852
6. Step 6: Final answer
   x = 759,873.50