Finding the Third Proportional to 176,952 and 385,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,952 : 385,003.50 = 385,003.50 : x
2. Step 2: Convert to fraction form
   176,952/385,003.50 = 385,003.50/x
3. Step 3: Cross multiply
   176,952x = 385,003.50 × 385,003.50
4. Step 4: Simplify right side
   176,952x = 148,227,695,012.25
5. Step 5: Solve for x
   x = 148,227,695,012.25/176,952
6. Step 6: Final answer
   x = 837,671.77