Finding the Third Proportional to 147,826 and 335,113

Step by Step Solution

1. Step 1: Write the proportion equation
   147,826 : 335,113 = 335,113 : x
2. Step 2: Convert to fraction form
   147,826/335,113 = 335,113/x
3. Step 3: Cross multiply
   147,826x = 335,113 × 335,113
4. Step 4: Simplify right side
   147,826x = 112,300,722,769
5. Step 5: Solve for x
   x = 112,300,722,769/147,826
6. Step 6: Final answer
   x = 759,681.81