Finding the Third Proportional to 148,869 and 212,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,869 : 212,233.50 = 212,233.50 : x
2. Step 2: Convert to fraction form
   148,869/212,233.50 = 212,233.50/x
3. Step 3: Cross multiply
   148,869x = 212,233.50 × 212,233.50
4. Step 4: Simplify right side
   148,869x = 45,043,058,522.25
5. Step 5: Solve for x
   x = 45,043,058,522.25/148,869
6. Step 6: Final answer
   x = 302,568.42