Finding the Third Proportional to 78,177 and 152,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,177 : 152,465.25 = 152,465.25 : x
2. Step 2: Convert to fraction form
   78,177/152,465.25 = 152,465.25/x
3. Step 3: Cross multiply
   78,177x = 152,465.25 × 152,465.25
4. Step 4: Simplify right side
   78,177x = 23,245,652,457.56
5. Step 5: Solve for x
   x = 23,245,652,457.56/78,177
6. Step 6: Final answer
   x = 297,346.44