Finding the Third Proportional to 63,835 and 137,146

Step by Step Solution

1. Step 1: Write the proportion equation
   63,835 : 137,146 = 137,146 : x
2. Step 2: Convert to fraction form
   63,835/137,146 = 137,146/x
3. Step 3: Cross multiply
   63,835x = 137,146 × 137,146
4. Step 4: Simplify right side
   63,835x = 18,809,025,316
5. Step 5: Solve for x
   x = 18,809,025,316/63,835
6. Step 6: Final answer
   x = 294,650.67