Finding the Third Proportional to 117,732 and 177,702.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,732 : 177,702.75 = 177,702.75 : x
2. Step 2: Convert to fraction form
   117,732/177,702.75 = 177,702.75/x
3. Step 3: Cross multiply
   117,732x = 177,702.75 × 177,702.75
4. Step 4: Simplify right side
   117,732x = 31,578,267,357.56
5. Step 5: Solve for x
   x = 31,578,267,357.56/117,732
6. Step 6: Final answer
   x = 268,221.62