Finding the Third Proportional to 108,645 and 146,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,645 : 146,200.50 = 146,200.50 : x
2. Step 2: Convert to fraction form
   108,645/146,200.50 = 146,200.50/x
3. Step 3: Cross multiply
   108,645x = 146,200.50 × 146,200.50
4. Step 4: Simplify right side
   108,645x = 21,374,586,200.25
5. Step 5: Solve for x
   x = 21,374,586,200.25/108,645
6. Step 6: Final answer
   x = 196,737.87