Finding the Third Proportional to 98,592 and 152,947

Step by Step Solution

1. Step 1: Write the proportion equation
   98,592 : 152,947 = 152,947 : x
2. Step 2: Convert to fraction form
   98,592/152,947 = 152,947/x
3. Step 3: Cross multiply
   98,592x = 152,947 × 152,947
4. Step 4: Simplify right side
   98,592x = 23,392,784,809
5. Step 5: Solve for x
   x = 23,392,784,809/98,592
6. Step 6: Final answer
   x = 237,268.59