Finding the Third Proportional to 63,314 and 137,174

Step by Step Solution

1. Step 1: Write the proportion equation
   63,314 : 137,174 = 137,174 : x
2. Step 2: Convert to fraction form
   63,314/137,174 = 137,174/x
3. Step 3: Cross multiply
   63,314x = 137,174 × 137,174
4. Step 4: Simplify right side
   63,314x = 18,816,706,276
5. Step 5: Solve for x
   x = 18,816,706,276/63,314
6. Step 6: Final answer
   x = 297,196.61