Finding the Third Proportional to 54,519 and 77,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,519 : 77,314.50 = 77,314.50 : x
2. Step 2: Convert to fraction form
   54,519/77,314.50 = 77,314.50/x
3. Step 3: Cross multiply
   54,519x = 77,314.50 × 77,314.50
4. Step 4: Simplify right side
   54,519x = 5,977,531,910.25
5. Step 5: Solve for x
   x = 5,977,531,910.25/54,519
6. Step 6: Final answer
   x = 109,641.26