Finding the Third Proportional to 98,478 and 152,757

Step by Step Solution

1. Step 1: Write the proportion equation
   98,478 : 152,757 = 152,757 : x
2. Step 2: Convert to fraction form
   98,478/152,757 = 152,757/x
3. Step 3: Cross multiply
   98,478x = 152,757 × 152,757
4. Step 4: Simplify right side
   98,478x = 23,334,701,049
5. Step 5: Solve for x
   x = 23,334,701,049/98,478
6. Step 6: Final answer
   x = 236,953.44