Finding the Third Proportional to 136,776 and 293,016

Step by Step Solution

1. Step 1: Write the proportion equation
   136,776 : 293,016 = 293,016 : x
2. Step 2: Convert to fraction form
   136,776/293,016 = 293,016/x
3. Step 3: Cross multiply
   136,776x = 293,016 × 293,016
4. Step 4: Simplify right side
   136,776x = 85,858,376,256
5. Step 5: Solve for x
   x = 85,858,376,256/136,776
6. Step 6: Final answer
   x = 627,729.84