Finding the Third Proportional to 78,224 and 112,095

Step by Step Solution

1. Step 1: Write the proportion equation
   78,224 : 112,095 = 112,095 : x
2. Step 2: Convert to fraction form
   78,224/112,095 = 112,095/x
3. Step 3: Cross multiply
   78,224x = 112,095 × 112,095
4. Step 4: Simplify right side
   78,224x = 12,565,289,025
5. Step 5: Solve for x
   x = 12,565,289,025/78,224
6. Step 6: Final answer
   x = 160,632.15