Finding the Third Proportional to 37,869 and 83,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,869 : 83,119.50 = 83,119.50 : x
2. Step 2: Convert to fraction form
   37,869/83,119.50 = 83,119.50/x
3. Step 3: Cross multiply
   37,869x = 83,119.50 × 83,119.50
4. Step 4: Simplify right side
   37,869x = 6,908,851,280.25
5. Step 5: Solve for x
   x = 6,908,851,280.25/37,869
6. Step 6: Final answer
   x = 182,440.82