Finding the Third Proportional to 78,852 and 170,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,852 : 170,827.50 = 170,827.50 : x
2. Step 2: Convert to fraction form
   78,852/170,827.50 = 170,827.50/x
3. Step 3: Cross multiply
   78,852x = 170,827.50 × 170,827.50
4. Step 4: Simplify right side
   78,852x = 29,182,034,756.25
5. Step 5: Solve for x
   x = 29,182,034,756.25/78,852
6. Step 6: Final answer
   x = 370,086.17