Finding the Third Proportional to 78,388 and 185,010

Step by Step Solution

1. Step 1: Write the proportion equation
   78,388 : 185,010 = 185,010 : x
2. Step 2: Convert to fraction form
   78,388/185,010 = 185,010/x
3. Step 3: Cross multiply
   78,388x = 185,010 × 185,010
4. Step 4: Simplify right side
   78,388x = 34,228,700,100
5. Step 5: Solve for x
   x = 34,228,700,100/78,388
6. Step 6: Final answer
   x = 436,657.40