Finding the Third Proportional to 116,970 and 188,376

Step by Step Solution

1. Step 1: Write the proportion equation
   116,970 : 188,376 = 188,376 : x
2. Step 2: Convert to fraction form
   116,970/188,376 = 188,376/x
3. Step 3: Cross multiply
   116,970x = 188,376 × 188,376
4. Step 4: Simplify right side
   116,970x = 35,485,517,376
5. Step 5: Solve for x
   x = 35,485,517,376/116,970
6. Step 6: Final answer
   x = 303,372.81