Finding the Third Proportional to 140,778 and 293,164

Step by Step Solution

1. Step 1: Write the proportion equation
   140,778 : 293,164 = 293,164 : x
2. Step 2: Convert to fraction form
   140,778/293,164 = 293,164/x
3. Step 3: Cross multiply
   140,778x = 293,164 × 293,164
4. Step 4: Simplify right side
   140,778x = 85,945,130,896
5. Step 5: Solve for x
   x = 85,945,130,896/140,778
6. Step 6: Final answer
   x = 610,501.15