Finding the Third Proportional to 76,338 and 114,516

Step by Step Solution

1. Step 1: Write the proportion equation
   76,338 : 114,516 = 114,516 : x
2. Step 2: Convert to fraction form
   76,338/114,516 = 114,516/x
3. Step 3: Cross multiply
   76,338x = 114,516 × 114,516
4. Step 4: Simplify right side
   76,338x = 13,113,914,256
5. Step 5: Solve for x
   x = 13,113,914,256/76,338
6. Step 6: Final answer
   x = 171,787.50