Finding the Third Proportional to 175,080 and 384,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,080 : 384,199.50 = 384,199.50 : x
2. Step 2: Convert to fraction form
   175,080/384,199.50 = 384,199.50/x
3. Step 3: Cross multiply
   175,080x = 384,199.50 × 384,199.50
4. Step 4: Simplify right side
   175,080x = 147,609,255,800.25
5. Step 5: Solve for x
   x = 147,609,255,800.25/175,080
6. Step 6: Final answer
   x = 843,096.05