Finding the Third Proportional to 385,902 and 550,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385,902 : 550,477.50 = 550,477.50 : x
2. Step 2: Convert to fraction form
   385,902/550,477.50 = 550,477.50/x
3. Step 3: Cross multiply
   385,902x = 550,477.50 × 550,477.50
4. Step 4: Simplify right side
   385,902x = 303,025,478,006.25
5. Step 5: Solve for x
   x = 303,025,478,006.25/385,902
6. Step 6: Final answer
   x = 785,239.46