Finding the Third Proportional to 76,174 and 116,047

Step by Step Solution

1. Step 1: Write the proportion equation
   76,174 : 116,047 = 116,047 : x
2. Step 2: Convert to fraction form
   76,174/116,047 = 116,047/x
3. Step 3: Cross multiply
   76,174x = 116,047 × 116,047
4. Step 4: Simplify right side
   76,174x = 13,466,906,209
5. Step 5: Solve for x
   x = 13,466,906,209/76,174
6. Step 6: Final answer
   x = 176,791.38