Finding the Third Proportional to 74,196 and 174,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,196 : 174,972.50 = 174,972.50 : x
2. Step 2: Convert to fraction form
   74,196/174,972.50 = 174,972.50/x
3. Step 3: Cross multiply
   74,196x = 174,972.50 × 174,972.50
4. Step 4: Simplify right side
   74,196x = 30,615,375,756.25
5. Step 5: Solve for x
   x = 30,615,375,756.25/74,196
6. Step 6: Final answer
   x = 412,628.39