Finding the Third Proportional to 117,801 and 187,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,801 : 187,627.50 = 187,627.50 : x
2. Step 2: Convert to fraction form
   117,801/187,627.50 = 187,627.50/x
3. Step 3: Cross multiply
   117,801x = 187,627.50 × 187,627.50
4. Step 4: Simplify right side
   117,801x = 35,204,078,756.25
5. Step 5: Solve for x
   x = 35,204,078,756.25/117,801
6. Step 6: Final answer
   x = 298,843.63