Finding the Third Proportional to 42,680 and 99,224

Step by Step Solution

1. Step 1: Write the proportion equation
   42,680 : 99,224 = 99,224 : x
2. Step 2: Convert to fraction form
   42,680/99,224 = 99,224/x
3. Step 3: Cross multiply
   42,680x = 99,224 × 99,224
4. Step 4: Simplify right side
   42,680x = 9,845,402,176
5. Step 5: Solve for x
   x = 9,845,402,176/42,680
6. Step 6: Final answer
   x = 230,679.53