Finding the Third Proportional to 46,089 and 99,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,089 : 99,184.50 = 99,184.50 : x
2. Step 2: Convert to fraction form
   46,089/99,184.50 = 99,184.50/x
3. Step 3: Cross multiply
   46,089x = 99,184.50 × 99,184.50
4. Step 4: Simplify right side
   46,089x = 9,837,565,040.25
5. Step 5: Solve for x
   x = 9,837,565,040.25/46,089
6. Step 6: Final answer
   x = 213,447.14