Finding the Third Proportional to 48,282 and 100,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,282 : 100,972.50 = 100,972.50 : x
2. Step 2: Convert to fraction form
   48,282/100,972.50 = 100,972.50/x
3. Step 3: Cross multiply
   48,282x = 100,972.50 × 100,972.50
4. Step 4: Simplify right side
   48,282x = 10,195,445,756.25
5. Step 5: Solve for x
   x = 10,195,445,756.25/48,282
6. Step 6: Final answer
   x = 211,164.53