Finding the Third Proportional to 174,972 and 409,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,972 : 409,726.50 = 409,726.50 : x
2. Step 2: Convert to fraction form
   174,972/409,726.50 = 409,726.50/x
3. Step 3: Cross multiply
   174,972x = 409,726.50 × 409,726.50
4. Step 4: Simplify right side
   174,972x = 167,875,804,802.25
5. Step 5: Solve for x
   x = 167,875,804,802.25/174,972
6. Step 6: Final answer
   x = 959,443.82