Finding the Third Proportional to 140,308 and 290,594

Step by Step Solution

1. Step 1: Write the proportion equation
   140,308 : 290,594 = 290,594 : x
2. Step 2: Convert to fraction form
   140,308/290,594 = 290,594/x
3. Step 3: Cross multiply
   140,308x = 290,594 × 290,594
4. Step 4: Simplify right side
   140,308x = 84,444,872,836
5. Step 5: Solve for x
   x = 84,444,872,836/140,308
6. Step 6: Final answer
   x = 601,853.59