Finding the Third Proportional to 174,924 and 270,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,924 : 270,112.50 = 270,112.50 : x
2. Step 2: Convert to fraction form
   174,924/270,112.50 = 270,112.50/x
3. Step 3: Cross multiply
   174,924x = 270,112.50 × 270,112.50
4. Step 4: Simplify right side
   174,924x = 72,960,762,656.25
5. Step 5: Solve for x
   x = 72,960,762,656.25/174,924
6. Step 6: Final answer
   x = 417,099.78