Finding the Third Proportional to 174,667.50 and 377,226

Step by Step Solution

1. Step 1: Write the proportion equation
   174,667.50 : 377,226 = 377,226 : x
2. Step 2: Convert to fraction form
   174,667.50/377,226 = 377,226/x
3. Step 3: Cross multiply
   174,667.50x = 377,226 × 377,226
4. Step 4: Simplify right side
   174,667.50x = 142,299,455,076
5. Step 5: Solve for x
   x = 142,299,455,076/174,667.50
6. Step 6: Final answer
   x = 814,687.65