Finding the Third Proportional to 78,444 and 185,154

Step by Step Solution

1. Step 1: Write the proportion equation
   78,444 : 185,154 = 185,154 : x
2. Step 2: Convert to fraction form
   78,444/185,154 = 185,154/x
3. Step 3: Cross multiply
   78,444x = 185,154 × 185,154
4. Step 4: Simplify right side
   78,444x = 34,282,003,716
5. Step 5: Solve for x
   x = 34,282,003,716/78,444
6. Step 6: Final answer
   x = 437,025.19