Finding the Third Proportional to 78,182 and 152,475

Step by Step Solution

1. Step 1: Write the proportion equation
   78,182 : 152,475 = 152,475 : x
2. Step 2: Convert to fraction form
   78,182/152,475 = 152,475/x
3. Step 3: Cross multiply
   78,182x = 152,475 × 152,475
4. Step 4: Simplify right side
   78,182x = 23,248,625,625
5. Step 5: Solve for x
   x = 23,248,625,625/78,182
6. Step 6: Final answer
   x = 297,365.45