Finding the Third Proportional to 55,413 and 87,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,413 : 87,758.50 = 87,758.50 : x
2. Step 2: Convert to fraction form
   55,413/87,758.50 = 87,758.50/x
3. Step 3: Cross multiply
   55,413x = 87,758.50 × 87,758.50
4. Step 4: Simplify right side
   55,413x = 7,701,554,322.25
5. Step 5: Solve for x
   x = 7,701,554,322.25/55,413
6. Step 6: Final answer
   x = 138,984.61