Finding the Third Proportional to 123,634 and 191,282

Step by Step Solution

1. Step 1: Write the proportion equation
   123,634 : 191,282 = 191,282 : x
2. Step 2: Convert to fraction form
   123,634/191,282 = 191,282/x
3. Step 3: Cross multiply
   123,634x = 191,282 × 191,282
4. Step 4: Simplify right side
   123,634x = 36,588,803,524
5. Step 5: Solve for x
   x = 36,588,803,524/123,634
6. Step 6: Final answer
   x = 295,944.51