Finding the Third Proportional to 78,200 and 152,488

Step by Step Solution

1. Step 1: Write the proportion equation
   78,200 : 152,488 = 152,488 : x
2. Step 2: Convert to fraction form
   78,200/152,488 = 152,488/x
3. Step 3: Cross multiply
   78,200x = 152,488 × 152,488
4. Step 4: Simplify right side
   78,200x = 23,252,590,144
5. Step 5: Solve for x
   x = 23,252,590,144/78,200
6. Step 6: Final answer
   x = 297,347.70