Finding the Third Proportional to 177,294 and 384,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,294 : 384,125.50 = 384,125.50 : x
2. Step 2: Convert to fraction form
   177,294/384,125.50 = 384,125.50/x
3. Step 3: Cross multiply
   177,294x = 384,125.50 × 384,125.50
4. Step 4: Simplify right side
   177,294x = 147,552,399,750.25
5. Step 5: Solve for x
   x = 147,552,399,750.25/177,294
6. Step 6: Final answer
   x = 832,247.00