Finding the Third Proportional to 78,152 and 118,005

Step by Step Solution

1. Step 1: Write the proportion equation
   78,152 : 118,005 = 118,005 : x
2. Step 2: Convert to fraction form
   78,152/118,005 = 118,005/x
3. Step 3: Cross multiply
   78,152x = 118,005 × 118,005
4. Step 4: Simplify right side
   78,152x = 13,925,180,025
5. Step 5: Solve for x
   x = 13,925,180,025/78,152
6. Step 6: Final answer
   x = 178,180.73