Finding the Third Proportional to 174,924 and 365,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   174,924 : 365,384.25 = 365,384.25 : x
2. Step 2: Convert to fraction form
   174,924/365,384.25 = 365,384.25/x
3. Step 3: Cross multiply
   174,924x = 365,384.25 × 365,384.25
4. Step 4: Simplify right side
   174,924x = 133,505,650,148.06
5. Step 5: Solve for x
   x = 133,505,650,148.06/174,924
6. Step 6: Final answer
   x = 763,220.89