Finding the Third Proportional to 36,224 and 78,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,224 : 78,476.50 = 78,476.50 : x
2. Step 2: Convert to fraction form
   36,224/78,476.50 = 78,476.50/x
3. Step 3: Cross multiply
   36,224x = 78,476.50 × 78,476.50
4. Step 4: Simplify right side
   36,224x = 6,158,561,052.25
5. Step 5: Solve for x
   x = 6,158,561,052.25/36,224
6. Step 6: Final answer
   x = 170,013.28