Finding the Third Proportional to 174,537 and 266,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,537 : 266,881.50 = 266,881.50 : x
2. Step 2: Convert to fraction form
   174,537/266,881.50 = 266,881.50/x
3. Step 3: Cross multiply
   174,537x = 266,881.50 × 266,881.50
4. Step 4: Simplify right side
   174,537x = 71,225,735,042.25
5. Step 5: Solve for x
   x = 71,225,735,042.25/174,537
6. Step 6: Final answer
   x = 408,083.87