Finding the Third Proportional to 35,205 and 78,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,205 : 78,184.50 = 78,184.50 : x
2. Step 2: Convert to fraction form
   35,205/78,184.50 = 78,184.50/x
3. Step 3: Cross multiply
   35,205x = 78,184.50 × 78,184.50
4. Step 4: Simplify right side
   35,205x = 6,112,816,040.25
5. Step 5: Solve for x
   x = 6,112,816,040.25/35,205
6. Step 6: Final answer
   x = 173,634.88