Finding the Third Proportional to 83,520 and 175,784

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520 : 175,784 = 175,784 : x
2. Step 2: Convert to fraction form
   83,520/175,784 = 175,784/x
3. Step 3: Cross multiply
   83,520x = 175,784 × 175,784
4. Step 4: Simplify right side
   83,520x = 30,900,014,656
5. Step 5: Solve for x
   x = 30,900,014,656/83,520
6. Step 6: Final answer
   x = 369,971.44