Finding the Third Proportional to 174,538.50 and 375,792

Step by Step Solution

1. Step 1: Write the proportion equation
   174,538.50 : 375,792 = 375,792 : x
2. Step 2: Convert to fraction form
   174,538.50/375,792 = 375,792/x
3. Step 3: Cross multiply
   174,538.50x = 375,792 × 375,792
4. Step 4: Simplify right side
   174,538.50x = 141,219,627,264
5. Step 5: Solve for x
   x = 141,219,627,264/174,538.50
6. Step 6: Final answer
   x = 809,103.02