Finding the Third Proportional to 78,210 and 165,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,210 : 165,028.50 = 165,028.50 : x
2. Step 2: Convert to fraction form
   78,210/165,028.50 = 165,028.50/x
3. Step 3: Cross multiply
   78,210x = 165,028.50 × 165,028.50
4. Step 4: Simplify right side
   78,210x = 27,234,405,812.25
5. Step 5: Solve for x
   x = 27,234,405,812.25/78,210
6. Step 6: Final answer
   x = 348,221.53