Finding the Third Proportional to 140,963 and 293,590

Step by Step Solution

1. Step 1: Write the proportion equation
   140,963 : 293,590 = 293,590 : x
2. Step 2: Convert to fraction form
   140,963/293,590 = 293,590/x
3. Step 3: Cross multiply
   140,963x = 293,590 × 293,590
4. Step 4: Simplify right side
   140,963x = 86,195,088,100
5. Step 5: Solve for x
   x = 86,195,088,100/140,963
6. Step 6: Final answer
   x = 611,473.14