Finding the Third Proportional to 78,300 and 172,152

Step by Step Solution

1. Step 1: Write the proportion equation
   78,300 : 172,152 = 172,152 : x
2. Step 2: Convert to fraction form
   78,300/172,152 = 172,152/x
3. Step 3: Cross multiply
   78,300x = 172,152 × 172,152
4. Step 4: Simplify right side
   78,300x = 29,636,311,104
5. Step 5: Solve for x
   x = 29,636,311,104/78,300
6. Step 6: Final answer
   x = 378,496.95