Finding the Third Proportional to 100,680 and 148,092

Step by Step Solution

1. Step 1: Write the proportion equation
   100,680 : 148,092 = 148,092 : x
2. Step 2: Convert to fraction form
   100,680/148,092 = 148,092/x
3. Step 3: Cross multiply
   100,680x = 148,092 × 148,092
4. Step 4: Simplify right side
   100,680x = 21,931,240,464
5. Step 5: Solve for x
   x = 21,931,240,464/100,680
6. Step 6: Final answer
   x = 217,831.15