Finding the Third Proportional to 117,592 and 253,616

Step by Step Solution

1. Step 1: Write the proportion equation
   117,592 : 253,616 = 253,616 : x
2. Step 2: Convert to fraction form
   117,592/253,616 = 253,616/x
3. Step 3: Cross multiply
   117,592x = 253,616 × 253,616
4. Step 4: Simplify right side
   117,592x = 64,321,075,456
5. Step 5: Solve for x
   x = 64,321,075,456/117,592
6. Step 6: Final answer
   x = 546,985.13