Finding the Third Proportional to 140,771 and 293,152

Step by Step Solution

1. Step 1: Write the proportion equation
   140,771 : 293,152 = 293,152 : x
2. Step 2: Convert to fraction form
   140,771/293,152 = 293,152/x
3. Step 3: Cross multiply
   140,771x = 293,152 × 293,152
4. Step 4: Simplify right side
   140,771x = 85,938,095,104
5. Step 5: Solve for x
   x = 85,938,095,104/140,771
6. Step 6: Final answer
   x = 610,481.53