Finding the Third Proportional to 117,597 and 177,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,597 : 177,475.50 = 177,475.50 : x
2. Step 2: Convert to fraction form
   117,597/177,475.50 = 177,475.50/x
3. Step 3: Cross multiply
   117,597x = 177,475.50 × 177,475.50
4. Step 4: Simplify right side
   117,597x = 31,497,553,100.25
5. Step 5: Solve for x
   x = 31,497,553,100.25/117,597
6. Step 6: Final answer
   x = 267,843.17