Finding the Third Proportional to 82,224 and 176,111

Step by Step Solution

1. Step 1: Write the proportion equation
   82,224 : 176,111 = 176,111 : x
2. Step 2: Convert to fraction form
   82,224/176,111 = 176,111/x
3. Step 3: Cross multiply
   82,224x = 176,111 × 176,111
4. Step 4: Simplify right side
   82,224x = 31,015,084,321
5. Step 5: Solve for x
   x = 31,015,084,321/82,224
6. Step 6: Final answer
   x = 377,202.33