Finding the Third Proportional to 62,696 and 137,056

Step by Step Solution

1. Step 1: Write the proportion equation
   62,696 : 137,056 = 137,056 : x
2. Step 2: Convert to fraction form
   62,696/137,056 = 137,056/x
3. Step 3: Cross multiply
   62,696x = 137,056 × 137,056
4. Step 4: Simplify right side
   62,696x = 18,784,347,136
5. Step 5: Solve for x
   x = 18,784,347,136/62,696
6. Step 6: Final answer
   x = 299,609.98