Finding the Third Proportional to 36,213 and 78,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,213 : 78,661.50 = 78,661.50 : x
2. Step 2: Convert to fraction form
   36,213/78,661.50 = 78,661.50/x
3. Step 3: Cross multiply
   36,213x = 78,661.50 × 78,661.50
4. Step 4: Simplify right side
   36,213x = 6,187,631,582.25
5. Step 5: Solve for x
   x = 6,187,631,582.25/36,213
6. Step 6: Final answer
   x = 170,867.69