Finding the Third Proportional to 177,886.50 and 385,296

Step by Step Solution

1. Step 1: Write the proportion equation
   177,886.50 : 385,296 = 385,296 : x
2. Step 2: Convert to fraction form
   177,886.50/385,296 = 385,296/x
3. Step 3: Cross multiply
   177,886.50x = 385,296 × 385,296
4. Step 4: Simplify right side
   177,886.50x = 148,453,007,616
5. Step 5: Solve for x
   x = 148,453,007,616/177,886.50
6. Step 6: Final answer
   x = 834,537.80