Finding the Third Proportional to 74,406 and 175,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,406 : 175,612.50 = 175,612.50 : x
2. Step 2: Convert to fraction form
   74,406/175,612.50 = 175,612.50/x
3. Step 3: Cross multiply
   74,406x = 175,612.50 × 175,612.50
4. Step 4: Simplify right side
   74,406x = 30,839,750,156.25
5. Step 5: Solve for x
   x = 30,839,750,156.25/74,406
6. Step 6: Final answer
   x = 414,479.35