Finding the Third Proportional to 77,272 and 169,308

Step by Step Solution

1. Step 1: Write the proportion equation
   77,272 : 169,308 = 169,308 : x
2. Step 2: Convert to fraction form
   77,272/169,308 = 169,308/x
3. Step 3: Cross multiply
   77,272x = 169,308 × 169,308
4. Step 4: Simplify right side
   77,272x = 28,665,198,864
5. Step 5: Solve for x
   x = 28,665,198,864/77,272
6. Step 6: Final answer
   x = 370,964.89