Finding the Third Proportional to 36,179 and 75,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,179 : 75,085.50 = 75,085.50 : x
2. Step 2: Convert to fraction form
   36,179/75,085.50 = 75,085.50/x
3. Step 3: Cross multiply
   36,179x = 75,085.50 × 75,085.50
4. Step 4: Simplify right side
   36,179x = 5,637,832,310.25
5. Step 5: Solve for x
   x = 5,637,832,310.25/36,179
6. Step 6: Final answer
   x = 155,831.62