Finding the Third Proportional to 140,769 and 293,148

Step by Step Solution

1. Step 1: Write the proportion equation
   140,769 : 293,148 = 293,148 : x
2. Step 2: Convert to fraction form
   140,769/293,148 = 293,148/x
3. Step 3: Cross multiply
   140,769x = 293,148 × 293,148
4. Step 4: Simplify right side
   140,769x = 85,935,749,904
5. Step 5: Solve for x
   x = 85,935,749,904/140,769
6. Step 6: Final answer
   x = 610,473.54