Finding the Third Proportional to 177,460.50 and 384,432

Step by Step Solution

1. Step 1: Write the proportion equation
   177,460.50 : 384,432 = 384,432 : x
2. Step 2: Convert to fraction form
   177,460.50/384,432 = 384,432/x
3. Step 3: Cross multiply
   177,460.50x = 384,432 × 384,432
4. Step 4: Simplify right side
   177,460.50x = 147,787,962,624
5. Step 5: Solve for x
   x = 147,787,962,624/177,460.50
6. Step 6: Final answer
   x = 832,793.57