Finding the Third Proportional to 98,414 and 152,805

Step by Step Solution

1. Step 1: Write the proportion equation
   98,414 : 152,805 = 152,805 : x
2. Step 2: Convert to fraction form
   98,414/152,805 = 152,805/x
3. Step 3: Cross multiply
   98,414x = 152,805 × 152,805
4. Step 4: Simplify right side
   98,414x = 23,349,368,025
5. Step 5: Solve for x
   x = 23,349,368,025/98,414
6. Step 6: Final answer
   x = 237,256.57