Finding the Third Proportional to 174,637 and 381,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,637 : 381,966.50 = 381,966.50 : x
2. Step 2: Convert to fraction form
   174,637/381,966.50 = 381,966.50/x
3. Step 3: Cross multiply
   174,637x = 381,966.50 × 381,966.50
4. Step 4: Simplify right side
   174,637x = 145,898,407,122.25
5. Step 5: Solve for x
   x = 145,898,407,122.25/174,637
6. Step 6: Final answer
   x = 835,438.12