Finding the Third Proportional to 98,400 and 152,784

Step by Step Solution

1. Step 1: Write the proportion equation
   98,400 : 152,784 = 152,784 : x
2. Step 2: Convert to fraction form
   98,400/152,784 = 152,784/x
3. Step 3: Cross multiply
   98,400x = 152,784 × 152,784
4. Step 4: Simplify right side
   98,400x = 23,342,950,656
5. Step 5: Solve for x
   x = 23,342,950,656/98,400
6. Step 6: Final answer
   x = 237,225.11