Finding the Third Proportional to 78,225.75 and 165,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,225.75 : 165,100.50 = 165,100.50 : x
2. Step 2: Convert to fraction form
   78,225.75/165,100.50 = 165,100.50/x
3. Step 3: Cross multiply
   78,225.75x = 165,100.50 × 165,100.50
4. Step 4: Simplify right side
   78,225.75x = 27,258,175,100.25
5. Step 5: Solve for x
   x = 27,258,175,100.25/78,225.75
6. Step 6: Final answer
   x = 348,455.27