Finding the Third Proportional to 174,465 and 261,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,465 : 261,766.50 = 261,766.50 : x
2. Step 2: Convert to fraction form
   174,465/261,766.50 = 261,766.50/x
3. Step 3: Cross multiply
   174,465x = 261,766.50 × 261,766.50
4. Step 4: Simplify right side
   174,465x = 68,521,700,522.25
5. Step 5: Solve for x
   x = 68,521,700,522.25/174,465
6. Step 6: Final answer
   x = 392,753.28