Finding the Third Proportional to 177,465 and 384,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,465 : 384,874.50 = 384,874.50 : x
2. Step 2: Convert to fraction form
   177,465/384,874.50 = 384,874.50/x
3. Step 3: Cross multiply
   177,465x = 384,874.50 × 384,874.50
4. Step 4: Simplify right side
   177,465x = 148,128,380,750.25
5. Step 5: Solve for x
   x = 148,128,380,750.25/177,465
6. Step 6: Final answer
   x = 834,690.68