Finding the Third Proportional to 145,089 and 205,483.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,089 : 205,483.50 = 205,483.50 : x
2. Step 2: Convert to fraction form
   145,089/205,483.50 = 205,483.50/x
3. Step 3: Cross multiply
   145,089x = 205,483.50 × 205,483.50
4. Step 4: Simplify right side
   145,089x = 42,223,468,772.25
5. Step 5: Solve for x
   x = 42,223,468,772.25/145,089
6. Step 6: Final answer
   x = 291,017.71