Finding the Third Proportional to 54,019 and 81,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,019 : 81,773.50 = 81,773.50 : x
2. Step 2: Convert to fraction form
   54,019/81,773.50 = 81,773.50/x
3. Step 3: Cross multiply
   54,019x = 81,773.50 × 81,773.50
4. Step 4: Simplify right side
   54,019x = 6,686,905,302.25
5. Step 5: Solve for x
   x = 6,686,905,302.25/54,019
6. Step 6: Final answer
   x = 123,788.02