Finding the Third Proportional to 100,873 and 146,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,873 : 146,557.50 = 146,557.50 : x
2. Step 2: Convert to fraction form
   100,873/146,557.50 = 146,557.50/x
3. Step 3: Cross multiply
   100,873x = 146,557.50 × 146,557.50
4. Step 4: Simplify right side
   100,873x = 21,479,100,806.25
5. Step 5: Solve for x
   x = 21,479,100,806.25/100,873
6. Step 6: Final answer
   x = 212,932.11