Finding the Third Proportional to 153,080 and 205,308

Step by Step Solution

1. Step 1: Write the proportion equation
   153,080 : 205,308 = 205,308 : x
2. Step 2: Convert to fraction form
   153,080/205,308 = 205,308/x
3. Step 3: Cross multiply
   153,080x = 205,308 × 205,308
4. Step 4: Simplify right side
   153,080x = 42,151,374,864
5. Step 5: Solve for x
   x = 42,151,374,864/153,080
6. Step 6: Final answer
   x = 275,355.21