Finding the Third Proportional to 137,772 and 212,910.75

Step by Step Solution

1. Step 1: Write the proportion equation
   137,772 : 212,910.75 = 212,910.75 : x
2. Step 2: Convert to fraction form
   137,772/212,910.75 = 212,910.75/x
3. Step 3: Cross multiply
   137,772x = 212,910.75 × 212,910.75
4. Step 4: Simplify right side
   137,772x = 45,330,987,465.56
5. Step 5: Solve for x
   x = 45,330,987,465.56/137,772
6. Step 6: Final answer
   x = 329,029.03