Finding the Third Proportional to 45,688 and 99,680

Step by Step Solution

1. Step 1: Write the proportion equation
   45,688 : 99,680 = 99,680 : x
2. Step 2: Convert to fraction form
   45,688/99,680 = 99,680/x
3. Step 3: Cross multiply
   45,688x = 99,680 × 99,680
4. Step 4: Simplify right side
   45,688x = 9,936,102,400
5. Step 5: Solve for x
   x = 9,936,102,400/45,688
6. Step 6: Final answer
   x = 217,477.29