Finding the Third Proportional to 98,464 and 152,754

Step by Step Solution

1. Step 1: Write the proportion equation
   98,464 : 152,754 = 152,754 : x
2. Step 2: Convert to fraction form
   98,464/152,754 = 152,754/x
3. Step 3: Cross multiply
   98,464x = 152,754 × 152,754
4. Step 4: Simplify right side
   98,464x = 23,333,784,516
5. Step 5: Solve for x
   x = 23,333,784,516/98,464
6. Step 6: Final answer
   x = 236,977.82