Finding the Third Proportional to 83,523 and 179,190

Step by Step Solution

1. Step 1: Write the proportion equation
   83,523 : 179,190 = 179,190 : x
2. Step 2: Convert to fraction form
   83,523/179,190 = 179,190/x
3. Step 3: Cross multiply
   83,523x = 179,190 × 179,190
4. Step 4: Simplify right side
   83,523x = 32,109,056,100
5. Step 5: Solve for x
   x = 32,109,056,100/83,523
6. Step 6: Final answer
   x = 384,433.70