Finding the Third Proportional to 175,081.50 and 384,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,081.50 : 384,202.50 = 384,202.50 : x
2. Step 2: Convert to fraction form
   175,081.50/384,202.50 = 384,202.50/x
3. Step 3: Cross multiply
   175,081.50x = 384,202.50 × 384,202.50
4. Step 4: Simplify right side
   175,081.50x = 147,611,561,006.25
5. Step 5: Solve for x
   x = 147,611,561,006.25/175,081.50
6. Step 6: Final answer
   x = 843,101.99