Finding the Third Proportional to 78,224 and 114,516

Step by Step Solution

1. Step 1: Write the proportion equation
   78,224 : 114,516 = 114,516 : x
2. Step 2: Convert to fraction form
   78,224/114,516 = 114,516/x
3. Step 3: Cross multiply
   78,224x = 114,516 × 114,516
4. Step 4: Simplify right side
   78,224x = 13,113,914,256
5. Step 5: Solve for x
   x = 13,113,914,256/78,224
6. Step 6: Final answer
   x = 167,645.66