Finding the Third Proportional to 104,506 and 156,514

Step by Step Solution

1. Step 1: Write the proportion equation
   104,506 : 156,514 = 156,514 : x
2. Step 2: Convert to fraction form
   104,506/156,514 = 156,514/x
3. Step 3: Cross multiply
   104,506x = 156,514 × 156,514
4. Step 4: Simplify right side
   104,506x = 24,496,632,196
5. Step 5: Solve for x
   x = 24,496,632,196/104,506
6. Step 6: Final answer
   x = 234,404.07