Finding the Third Proportional to 54,465 and 113,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,465 : 113,917.50 = 113,917.50 : x
2. Step 2: Convert to fraction form
   54,465/113,917.50 = 113,917.50/x
3. Step 3: Cross multiply
   54,465x = 113,917.50 × 113,917.50
4. Step 4: Simplify right side
   54,465x = 12,977,196,806.25
5. Step 5: Solve for x
   x = 12,977,196,806.25/54,465
6. Step 6: Final answer
   x = 238,266.72