Finding the Third Proportional to 77,553 and 167,499

Step by Step Solution

1. Step 1: Write the proportion equation
   77,553 : 167,499 = 167,499 : x
2. Step 2: Convert to fraction form
   77,553/167,499 = 167,499/x
3. Step 3: Cross multiply
   77,553x = 167,499 × 167,499
4. Step 4: Simplify right side
   77,553x = 28,055,915,001
5. Step 5: Solve for x
   x = 28,055,915,001/77,553
6. Step 6: Final answer
   x = 361,764.41