Finding the Third Proportional to 100,872 and 146,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,872 : 146,572.50 = 146,572.50 : x
2. Step 2: Convert to fraction form
   100,872/146,572.50 = 146,572.50/x
3. Step 3: Cross multiply
   100,872x = 146,572.50 × 146,572.50
4. Step 4: Simplify right side
   100,872x = 21,483,497,756.25
5. Step 5: Solve for x
   x = 21,483,497,756.25/100,872
6. Step 6: Final answer
   x = 212,977.81