Finding the Third Proportional to 147,814 and 335,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,814 : 335,089.50 = 335,089.50 : x
2. Step 2: Convert to fraction form
   147,814/335,089.50 = 335,089.50/x
3. Step 3: Cross multiply
   147,814x = 335,089.50 × 335,089.50
4. Step 4: Simplify right side
   147,814x = 112,284,973,010.25
5. Step 5: Solve for x
   x = 112,284,973,010.25/147,814
6. Step 6: Final answer
   x = 759,636.93