Finding the Third Proportional to 77,580 and 167,550

Step by Step Solution

1. Step 1: Write the proportion equation
   77,580 : 167,550 = 167,550 : x
2. Step 2: Convert to fraction form
   77,580/167,550 = 167,550/x
3. Step 3: Cross multiply
   77,580x = 167,550 × 167,550
4. Step 4: Simplify right side
   77,580x = 28,073,002,500
5. Step 5: Solve for x
   x = 28,073,002,500/77,580
6. Step 6: Final answer
   x = 361,858.76