Finding the Third Proportional to 83,320 and 175,352

Step by Step Solution

1. Step 1: Write the proportion equation
   83,320 : 175,352 = 175,352 : x
2. Step 2: Convert to fraction form
   83,320/175,352 = 175,352/x
3. Step 3: Cross multiply
   83,320x = 175,352 × 175,352
4. Step 4: Simplify right side
   83,320x = 30,748,323,904
5. Step 5: Solve for x
   x = 30,748,323,904/83,320
6. Step 6: Final answer
   x = 369,038.93