Finding the Third Proportional to 175,248 and 380,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,248 : 380,020.50 = 380,020.50 : x
2. Step 2: Convert to fraction form
   175,248/380,020.50 = 380,020.50/x
3. Step 3: Cross multiply
   175,248x = 380,020.50 × 380,020.50
4. Step 4: Simplify right side
   175,248x = 144,415,580,420.25
5. Step 5: Solve for x
   x = 144,415,580,420.25/175,248
6. Step 6: Final answer
   x = 824,064.07