Finding the Third Proportional to 63,620 and 138,172

Step by Step Solution

1. Step 1: Write the proportion equation
   63,620 : 138,172 = 138,172 : x
2. Step 2: Convert to fraction form
   63,620/138,172 = 138,172/x
3. Step 3: Cross multiply
   63,620x = 138,172 × 138,172
4. Step 4: Simplify right side
   63,620x = 19,091,501,584
5. Step 5: Solve for x
   x = 19,091,501,584/63,620
6. Step 6: Final answer
   x = 300,086.48