Finding the Third Proportional to 173,202 and 380,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   173,202 : 380,422.50 = 380,422.50 : x
2. Step 2: Convert to fraction form
   173,202/380,422.50 = 380,422.50/x
3. Step 3: Cross multiply
   173,202x = 380,422.50 × 380,422.50
4. Step 4: Simplify right side
   173,202x = 144,721,278,506.25
5. Step 5: Solve for x
   x = 144,721,278,506.25/173,202
6. Step 6: Final answer
   x = 835,563.55