Finding the Third Proportional to 174,042 and 381,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,042 : 381,685.50 = 381,685.50 : x
2. Step 2: Convert to fraction form
   174,042/381,685.50 = 381,685.50/x
3. Step 3: Cross multiply
   174,042x = 381,685.50 × 381,685.50
4. Step 4: Simplify right side
   174,042x = 145,683,820,910.25
5. Step 5: Solve for x
   x = 145,683,820,910.25/174,042
6. Step 6: Final answer
   x = 837,061.29