Finding the Third Proportional to 78,045 and 165,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,045 : 165,808.50 = 165,808.50 : x
2. Step 2: Convert to fraction form
   78,045/165,808.50 = 165,808.50/x
3. Step 3: Cross multiply
   78,045x = 165,808.50 × 165,808.50
4. Step 4: Simplify right side
   78,045x = 27,492,458,672.25
5. Step 5: Solve for x
   x = 27,492,458,672.25/78,045
6. Step 6: Final answer
   x = 352,264.19