Finding the Third Proportional to 140,802 and 293,212

Step by Step Solution

1. Step 1: Write the proportion equation
   140,802 : 293,212 = 293,212 : x
2. Step 2: Convert to fraction form
   140,802/293,212 = 293,212/x
3. Step 3: Cross multiply
   140,802x = 293,212 × 293,212
4. Step 4: Simplify right side
   140,802x = 85,973,276,944
5. Step 5: Solve for x
   x = 85,973,276,944/140,802
6. Step 6: Final answer
   x = 610,596.99