Finding the Third Proportional to 106,142.06 and 154,838.25

Step by Step Solution

1. Step 1: Write the proportion equation
   106,142.06 : 154,838.25 = 154,838.25 : x
2. Step 2: Convert to fraction form
   106,142.06/154,838.25 = 154,838.25/x
3. Step 3: Cross multiply
   106,142.06x = 154,838.25 × 154,838.25
4. Step 4: Simplify right side
   106,142.06x = 23,974,883,663.06
5. Step 5: Solve for x
   x = 23,974,883,663.06/106,142.06
6. Step 6: Final answer
   x = 225,875.43