Finding the Third Proportional to 98,410 and 152,800

Step by Step Solution

1. Step 1: Write the proportion equation
   98,410 : 152,800 = 152,800 : x
2. Step 2: Convert to fraction form
   98,410/152,800 = 152,800/x
3. Step 3: Cross multiply
   98,410x = 152,800 × 152,800
4. Step 4: Simplify right side
   98,410x = 23,347,840,000
5. Step 5: Solve for x
   x = 23,347,840,000/98,410
6. Step 6: Final answer
   x = 237,250.69