Finding the Third Proportional to 137,456 and 293,056

Step by Step Solution

1. Step 1: Write the proportion equation
   137,456 : 293,056 = 293,056 : x
2. Step 2: Convert to fraction form
   137,456/293,056 = 293,056/x
3. Step 3: Cross multiply
   137,456x = 293,056 × 293,056
4. Step 4: Simplify right side
   137,456x = 85,881,819,136
5. Step 5: Solve for x
   x = 85,881,819,136/137,456
6. Step 6: Final answer
   x = 624,794.98