Finding the Third Proportional to 78,851 and 182,358

Step by Step Solution

1. Step 1: Write the proportion equation
   78,851 : 182,358 = 182,358 : x
2. Step 2: Convert to fraction form
   78,851/182,358 = 182,358/x
3. Step 3: Cross multiply
   78,851x = 182,358 × 182,358
4. Step 4: Simplify right side
   78,851x = 33,254,440,164
5. Step 5: Solve for x
   x = 33,254,440,164/78,851
6. Step 6: Final answer
   x = 421,737.71