Finding the Third Proportional to 245,085 and 385,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   245,085 : 385,123.50 = 385,123.50 : x
2. Step 2: Convert to fraction form
   245,085/385,123.50 = 385,123.50/x
3. Step 3: Cross multiply
   245,085x = 385,123.50 × 385,123.50
4. Step 4: Simplify right side
   245,085x = 148,320,110,252.25
5. Step 5: Solve for x
   x = 148,320,110,252.25/245,085
6. Step 6: Final answer
   x = 605,178.25