Finding the Third Proportional to 174,341.25 and 381,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,341.25 : 381,847.50 = 381,847.50 : x
2. Step 2: Convert to fraction form
   174,341.25/381,847.50 = 381,847.50/x
3. Step 3: Cross multiply
   174,341.25x = 381,847.50 × 381,847.50
4. Step 4: Simplify right side
   174,341.25x = 145,807,513,256.25
5. Step 5: Solve for x
   x = 145,807,513,256.25/174,341.25
6. Step 6: Final answer
   x = 836,333.99