Finding the Third Proportional to 137,186 and 293,389

Step by Step Solution

1. Step 1: Write the proportion equation
   137,186 : 293,389 = 293,389 : x
2. Step 2: Convert to fraction form
   137,186/293,389 = 293,389/x
3. Step 3: Cross multiply
   137,186x = 293,389 × 293,389
4. Step 4: Simplify right side
   137,186x = 86,077,105,321
5. Step 5: Solve for x
   x = 86,077,105,321/137,186
6. Step 6: Final answer
   x = 627,448.17