Finding the Third Proportional to 115,878 and 175,047

Step by Step Solution

1. Step 1: Write the proportion equation
   115,878 : 175,047 = 175,047 : x
2. Step 2: Convert to fraction form
   115,878/175,047 = 175,047/x
3. Step 3: Cross multiply
   115,878x = 175,047 × 175,047
4. Step 4: Simplify right side
   115,878x = 30,641,452,209
5. Step 5: Solve for x
   x = 30,641,452,209/115,878
6. Step 6: Final answer
   x = 264,428.56