Finding the Third Proportional to 78,218 and 112,088

Step by Step Solution

1. Step 1: Write the proportion equation
   78,218 : 112,088 = 112,088 : x
2. Step 2: Convert to fraction form
   78,218/112,088 = 112,088/x
3. Step 3: Cross multiply
   78,218x = 112,088 × 112,088
4. Step 4: Simplify right side
   78,218x = 12,563,719,744
5. Step 5: Solve for x
   x = 12,563,719,744/78,218
6. Step 6: Final answer
   x = 160,624.41