Finding the Third Proportional to 99,680 and 148,656

Step by Step Solution

1. Step 1: Write the proportion equation
   99,680 : 148,656 = 148,656 : x
2. Step 2: Convert to fraction form
   99,680/148,656 = 148,656/x
3. Step 3: Cross multiply
   99,680x = 148,656 × 148,656
4. Step 4: Simplify right side
   99,680x = 22,098,606,336
5. Step 5: Solve for x
   x = 22,098,606,336/99,680
6. Step 6: Final answer
   x = 221,695.49