Finding the Third Proportional to 78,252 and 167,583

Step by Step Solution

1. Step 1: Write the proportion equation
   78,252 : 167,583 = 167,583 : x
2. Step 2: Convert to fraction form
   78,252/167,583 = 167,583/x
3. Step 3: Cross multiply
   78,252x = 167,583 × 167,583
4. Step 4: Simplify right side
   78,252x = 28,084,061,889
5. Step 5: Solve for x
   x = 28,084,061,889/78,252
6. Step 6: Final answer
   x = 358,892.58