Finding the Third Proportional to 174,810 and 381,364

Step by Step Solution

1. Step 1: Write the proportion equation
   174,810 : 381,364 = 381,364 : x
2. Step 2: Convert to fraction form
   174,810/381,364 = 381,364/x
3. Step 3: Cross multiply
   174,810x = 381,364 × 381,364
4. Step 4: Simplify right side
   174,810x = 145,438,500,496
5. Step 5: Solve for x
   x = 145,438,500,496/174,810
6. Step 6: Final answer
   x = 831,980.44