Finding the Third Proportional to 176,961 and 385,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,961 : 385,021.50 = 385,021.50 : x
2. Step 2: Convert to fraction form
   176,961/385,021.50 = 385,021.50/x
3. Step 3: Cross multiply
   176,961x = 385,021.50 × 385,021.50
4. Step 4: Simplify right side
   176,961x = 148,241,555,462.25
5. Step 5: Solve for x
   x = 148,241,555,462.25/176,961
6. Step 6: Final answer
   x = 837,707.49