Finding the Third Proportional to 174,924 and 381,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,924 : 381,469.50 = 381,469.50 : x
2. Step 2: Convert to fraction form
   174,924/381,469.50 = 381,469.50/x
3. Step 3: Cross multiply
   174,924x = 381,469.50 × 381,469.50
4. Step 4: Simplify right side
   174,924x = 145,518,979,430.25
5. Step 5: Solve for x
   x = 145,518,979,430.25/174,924
6. Step 6: Final answer
   x = 831,898.31