Finding the Third Proportional to 78,830 and 167,882

Step by Step Solution

1. Step 1: Write the proportion equation
   78,830 : 167,882 = 167,882 : x
2. Step 2: Convert to fraction form
   78,830/167,882 = 167,882/x
3. Step 3: Cross multiply
   78,830x = 167,882 × 167,882
4. Step 4: Simplify right side
   78,830x = 28,184,365,924
5. Step 5: Solve for x
   x = 28,184,365,924/78,830
6. Step 6: Final answer
   x = 357,533.50