Finding the Third Proportional to 106,833 and 154,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,833 : 154,737.50 = 154,737.50 : x
2. Step 2: Convert to fraction form
   106,833/154,737.50 = 154,737.50/x
3. Step 3: Cross multiply
   106,833x = 154,737.50 × 154,737.50
4. Step 4: Simplify right side
   106,833x = 23,943,693,906.25
5. Step 5: Solve for x
   x = 23,943,693,906.25/106,833
6. Step 6: Final answer
   x = 224,122.64