Finding the Third Proportional to 36,484 and 78,152

Step by Step Solution

1. Step 1: Write the proportion equation
   36,484 : 78,152 = 78,152 : x
2. Step 2: Convert to fraction form
   36,484/78,152 = 78,152/x
3. Step 3: Cross multiply
   36,484x = 78,152 × 78,152
4. Step 4: Simplify right side
   36,484x = 6,107,735,104
5. Step 5: Solve for x
   x = 6,107,735,104/36,484
6. Step 6: Final answer
   x = 167,408.59