Finding the Third Proportional to 117,784 and 175,076

Step by Step Solution

1. Step 1: Write the proportion equation
   117,784 : 175,076 = 175,076 : x
2. Step 2: Convert to fraction form
   117,784/175,076 = 175,076/x
3. Step 3: Cross multiply
   117,784x = 175,076 × 175,076
4. Step 4: Simplify right side
   117,784x = 30,651,605,776
5. Step 5: Solve for x
   x = 30,651,605,776/117,784
6. Step 6: Final answer
   x = 260,235.73