Finding the Third Proportional to 83,524.50 and 176,364

Step by Step Solution

1. Step 1: Write the proportion equation
   83,524.50 : 176,364 = 176,364 : x
2. Step 2: Convert to fraction form
   83,524.50/176,364 = 176,364/x
3. Step 3: Cross multiply
   83,524.50x = 176,364 × 176,364
4. Step 4: Simplify right side
   83,524.50x = 31,104,260,496
5. Step 5: Solve for x
   x = 31,104,260,496/83,524.50
6. Step 6: Final answer
   x = 372,396.85